Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

reaY eht fo naicitamehtaM > Probabilities and Statistics > Flashcards

Probabilities and Statistics Flashcards

1
Q

Set 1 Problem 1: A bag contains 3 white balls and 5 red balls. If 2 balls are drawn together, find the probability that all are the same color.

A

13/28 (p. 7)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Set 1 Problem 36: In a normal curve, about 68% of the scores fall within the shaded area, which is symmetric about the mean. The shaded area ranges from 42 to 56. What is the standard deviation of the scores?

A

7 (p.12)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Set 2 Problem 31: By use of 7 flags, identical except for color, how many signals can be formed by arranging all of the flags in 7 positions on a pole, if 3 are blue, 2 are red, and 2 are green?

A

210 (p.28)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Set 2 Problem 43: Table 2.1 displays the results of a survey regarding the number of study hours each student in a class. The average number of study hours in this class is 1.25. Find the value of k.

A

7 (p. 30)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Set 2 Problem 51: Given 2 independent random variables x and y with mean and variance as follows: E(x)=640, σ(x)=6, E(y)=280, σ(y)=8. Find the standard deviation of the random variable (x+y).

A

10 (p.31)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Set 2 Problem 61: Two dice are tossed. How many simple events are in the sample space?

A

36

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Set 2 Problem 62: The probability that a patient recovers from a delicate heart operation is 0.90. What is the probability that exactly 5 of the next 7 patients having this operation survive?

A

0.124 (p.33)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Set 2 Problem 75: Two cards are drawn from an ordinary deck of 52 cards. Find the probability p that both are face cards.

A

0.0498 (p.36)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Set 3 Problem 5: Given a set of numbers {2, 3, x, 5, 9, x²}, with x>0. Find the mean of the numbers if the range is 14.

A

6.5 (p.42)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Set 3 Problem 6: In how many ways can a panel of 5 judges make a majority decision?

A

16 (p.42)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Set 3 Problem 42: Three boys, Arthur, Bobby, and Charlie are suitors of Berna. Arthur and Bobby are thought to have equal chances of getting Berna’s yes while Charlie is thought to have twice the chance of either of the other two. What are the odds that Arthur will win?

A

1:3 (p.49)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Set 3 Problem 49: A religious hold a thanksgiving mass attended by 14 married couples, 8 of whom brought no children, and 6 of whom brought 3 children a piece. Counting the priest, the mass has 31 attendees. How many married children are there?

A

16 (p.50)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Set 3 Problem 57: The probability of Steve Carry hitting a 3-point shot is 0.80. How many attempts will he make in order to make sure of at least 90% having a 3-point?

A

4 (p.52)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Set 3 Problem 66: Four boys and two girls line up. What is the probability that all four boys are before the two girls?

A

1/15 (p.54)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Set 3 Problem 67: Danny and Tony belong to the same basketball team. After so many 3-point attempts. Danny recorded 12 shots out of 20 attempts, while Tony had 10 shots out of 16 attempts. Judging on this present performance record, what is the probability that both will get a shot in their next attempts?

A

3/5 (p. 54)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Set 4 Problem 9: A bag contains 4 white and 6 black balls. If 2 balls are drawn in succession without replacement, what is the probability that both balls are white?

A

2/15 (p.61)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Set 4 Problem 12: Mc Naldo’s Deli offers a lunch special in which you can choose a sandwich, a side dish, and a beverage. If there are 10 different sandwiches, 12 different side dishes, and 7 different beverages from which to choose, how many lunch special can you order?

A

840 (p.61)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Set 4 Problem 17: The probability that a certain product is defective is 0.06. Find the probability that in a sample of 20, 4 are defective.

A

0.02333 (p. 62)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Set 4 Problem 23: Compute the total number of 8-letter arrangements of the letters of the word ENGINEER.

A

3,360 (p. 62)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Set 4 Problem 24: Find the sum to infinity of the series 4, 4/3, 4/9,…..

A

6 (p. 63)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

On the first 7 tests in his Surveying subject, James’ score were 82, 78, 86, 82, 94, 95, and 92.
Set 5 Problem 21: Determine the median of his scores.

A

86 (p.81)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

On the first 7 tests in his Surveying subject, James’ score were 82, 78, 86, 82, 94, 95, and 92.
Set 5 Problem 22: Determine the mode of his scores.

A

82 (p.81)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

On the first 7 tests in his Surveying subject, James’ score were 82, 78, 86, 82, 94, 95, and 92.
Set 5 Problem 23: If James took an 8th test and raised the mean of his scores exactly by one point, what was his score on the 8th test?

A

95 (p.81)

24
Q

Set 5 Problem 24: Determine the standard deviation of the set of the numbers { 5, 8, 6, 4, 10, 3, 8, 12, 15, 8 }.

A

3.506 (p.81)

25
Q

The ages of the faculty members of the Civil Engineering Department of ZIT-University are as follows: 27, 24, 40, 27, 30, 25, 27, 31, 37, and 35.
Set 5 Problem 31: Determine the median.

A

28.5 (p. 82)

26
Q

The ages of the faculty members of the Civil Engineering Department of ZIT-University are as follows: 27, 24, 40, 27, 30, 25, 27, 31, 37, and 35.
Set 5 Problem 32: Determine the first quartile.

A

27 (p.83)

27
Q

The ages of the faculty members of the Civil Engineering Department of ZIT-University are as follows: 27, 24, 40, 27, 30, 25, 27, 31, 37, and 35.
Set 5 Problem 33: Determine the Interquartile Range.

A

8 (p.83)

28
Q

Set 5 Problem 37: A paint mixture contains yellow, blue, and red in a ratio 3:2:1. If the mixture contains 12 pints of yellow paint, how many pints are there altogether?

A

24 (p.83)

29
Q

Set 5 Problem 46: Frisbees comes in 5 models, and 3 sizes. How many Frisbees must a local dealer have on hand in order to have one of each kind available?

A

120 (p.84)

30
Q

Set 5 Problem 47: A dart target consists of 3 concentric circles with different radii, 2 inches, 4 inches, and 6 inches. A dart thrower always hit the area of a 6-inch radius but hit the area randomly. What is the probability that the dart hits the area between the 2-inch radius and the 4-inch radius of the circle in the next throw?

A

1/3 (p.84)

31
Q

Set 5 Problem 49: How many different ways can 3 red, 4 yellow, and 2 blue bulbs be arranged in a string of Christmas tree lights with 9 sockets?

A

1260 (p.84)

32
Q

A box contains 10 brass washers, 18 copper washers, and 22 steel washers. One washer is taken at random, retained, and a second washer is similarly drawn.
Set 5 Problem 50: Determine the probability that both washers drawn are steel.

A

0.19 (p.85)

33
Q

A box contains 10 brass washers, 18 copper washers, and 22 steel washers. One washer is taken at random, retained, and a second washer is similarly drawn.
Set 5 Problem 51: Determine the probability that one is copper and one is steel.

A

0.323 (p.85)

34
Q

A box contains 10 brass washers, 18 copper washers, and 22 steel washers. One washer is taken at random, retained, and a second washer is similarly drawn.
Set 5 Problem 50: Determine the probability that one is copper and one is steel.

A

0.35 (p.85)

35
Q

Set 6 Problem 20: The probability that the wife will be alive in 20 years is 0.8 and the probability that the husband will be alive in 20 years is 0.70. What is the probability that neither will be alive in 20 years?

A

0.06 (p.97)

36
Q

Set 6 Problem 25: How many distinct permutations can be made from the letters of the word COLLEGE?

A

1,260 (p.97)

37
Q

Set 6 Problem 62: Find the expected number of boys on a committee of 4 selected at random from 5 boys and 3 girls.

A

2.5 (p.104)

38
Q

Set 6 Problem 63: A sample is taken from the scores of a 10-item test: 8, 9, 8, 7, 10, and 7. Find the standard deviation.

A

1.367 (p.104)

39
Q

Set 7 Problem 21: A light bulb manufacturer estimates that 0.5% of his output does not meet the standard length of life. Find the probability that a pack of 50 light bulbs contains 2 bulbs that do not meet the standard length of life. Use Poisson’s distribution.

A

0.02434 (p.114)

40
Q

Set 7 Problem 28: Zach and Kurt are going to an amusement park. They cannot decide in which order to ride the 10 roller coasters in the park. If they have only time to ride 7 of the roller coasters, how many ways can they do this?

A

604,800 (p.115)

41
Q

Set 7 Problem 68: A line was measured 4 times with the following results: 564.82 m, 564.89 m, 564.64 m, and 564.55 m. Determine the probable error of the mean.

A

0.053 (p.122)

42
Q

Set 8 Problem 17: During a PICE officers meeting, each officer shakes hands with all the others. Assuming that each member shakes hand with another member only once, if there were a total of 91 handshakes, how many were there in the meeting?

A

14 (p.131)

43
Q

Set 8 Problem 57: From 7 men and 5 women, a committee of 4 is chosen by lot. What is the probability that the committee will involve all men or all women?

A

8/99 (p.137)

44
Q

Set 8 Problem 74: All the male members of CIT-U CE faculty play basketball while all but one play volleyball, yet the number of possible basketball teams (5 members) is the same as the number of possible volleyball teams (6 members). Assuming there are enough members to form either type of team, how many male faculty members?

A

15 (p.140)

45
Q

Set 9 Problem 8: A certain kind of tire has a life exceeding 30,000 miles with probability 0.90. What is the probability that a set of these tires on a car will last longer than 30,000 miles?

A

0.656 (p.146)

46
Q

Set 9 Problem 9: If the mathematics scores of the SAT college entrance exams are normal with mean 480 and standard deviation 100 and if some college sets 500 as the minimum score for new students, what percent of students would not reach that score?

A

58% (p.146)

47
Q

Suppose the number of cars, X, that pass through a car wash between 4:00 PM and 5:00 PM on any sunny day has the following probability distribution.
Table 9.1
Set 9 Problem 10: What is the expected number of cars that will pass through the car wash during the given time interval?

A

6.83 (p.146)

48
Q

Suppose the number of cars, X, that pass through a car wash between 4:00 PM and 5:00 PM on any sunny day has the following probability distribution.
Table 9.1
Set 9 Problem 11: What is the standard deviation of the distribution?

A

1.462 (p.146)

49
Q

Suppose the number of cars, X, that pass through a car wash between 4:00 PM and 5:00 PM on any sunny day has the following probability distribution.
Table 9.1
Set 9 Problem 12: Find the attendant’s expected earnings for this particular time interval if g(X)=2X-1 represents the amount of money in dollars paid to him.

A

$12.67 (p.146)

50
Q

Set 9 Problem 26: In Naga City, the police record revealed that the need for money to buy drugs is given as the reason for 70% of all thefts. What is the probability that in the next 5 theft cases reported in this city at least 3 resulted from the need of money to buy drugs?

A

0.837 (p.149)

51
Q

Set 9 Problem 37: From 7 men and 5 women, a committee of four is chosen by lot. What is the probability that the committee will involve all men or all women?

A

8/99 (p.151)

52
Q

Set 9 Problem 74: There are 4 flights from Houston to Chicago, 3 flights from Chicago to Memphis, and 5 flights from Memphis to Atlanta. How many choices does a passenger have for flights that include Houston - Chicago - Memphis - Atlanta connection?

A

60 (p.156)

53
Q

Set 10 Problem 3: In how many ways can 5 different figurines and 3 different vases be exhibited in a row with the vases in consecutive positions?

A

4,320 (p.161)

54
Q

Set 10 Problem 5: Four cards are drawn together from a deck of 52 cards. Find the probability that all are of the same suit.

A

0.01056 (p.162)

55
Q

Set 10 Problem 68: A PE teacher asked 20 of his students about what sports they are playing. Eight students said that they play soccer but not football, 5 students said they play softball but not soccer, and 3 said that they do not participate in either sport. How many of the 20 students play soccer?

A

12 (p.174)

reaY eht fo naicitamehtaM (26 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions