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QM > Chapter 6 > Flashcards

Chapter 6 Flashcards

1
Q

The uniform distribution is sometimes referred to as the _____________________
distribution.

A

Rectangular

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2
Q

Suppose a set of data are uniformly distributed from x = 5 to x = 13. The height of the distribution is ____________________. The mean of this distribution is ____________________. The standard deviation of this distribution is _____________________.

A

1/8, 9, 2.3094

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3
Q

Suppose a set of data are uniformly distributed from x = 27 to x = 44. The height of
this distribution is _____________________. The mean of this distribution is
_____________________. The standard deviation of this distribution is

A

1/17, 35.5, 4.9075

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4
Q

A set of values is uniformly distributed from 84 to 98. The probability of a value
occurring between 89 and 93 is _____________________. The probability of a
value occurring between 80 and 90 is __________________. The probability of a
value occurring that is greater than 75 is _____________________.

A

. .2857, .7143, 1.000

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5
Q

Probably the most widely known and used of all distributions is the
_______________ distribution.

A

Normal

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6
Q

Probably the most widely known and used of all distributions is the _______________ distribution.

A

Normal

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7
Q

The area under the curve of a normal distribution is ________.

A

1

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8
Q

In working normal curve problems using the raw values of x, the mean, and the
standard deviation, a problem can be converted to ________ scores.

A

z

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9
Q

A z score value is the number of _______________ _______________ a value is
from the mean.

A

Standard deviations

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10
Q

Within a range of z scores of ± 1 from the mean, fall _________% of the values
of a normal distribution.

A

68%

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11
Q

Suppose a population of values is normally distributed with a mean of 155 and a
standard deviation of 12. The z score for x = 170 is ________.

A

1.25

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12
Q

Suppose a population of values is normally distributed with a mean of 76 and a
standard deviation of 5.2. The z score for x = 73 is ________.

A

-0.58

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13
Q

Suppose a population of values is normally distributed with a mean of 250 and a
variance of 225. The z score for x = 286 is ________.

A

2.40

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14
Q

Suppose a population of values is normally distributed with a mean of 9.8 and a
standard deviation of 2.5. The probability that a value is greater than 11 in the
distribution is ________.

A

0.3156

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15
Q

A population is normally distributed with a mean of 80 and a variance of 400. The
probability that x lies between 50 and 100 is ________.

A

0.7745

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16
Q

A population is normally distributed with a mean of 115 and a standard deviation of
13. The probability that a value is less than 85 is ________.

A

.0104

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17
Q

A population is normally distributed with a mean of 64. The probability that a
value from this population is more than 70 is .0485. The standard deviation is
__________.

A

3.614

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18
Q
  1. A population is normally distributed with a mean of 90. 85.99% of the values in
    this population are greater than 75. The standard deviation of this population is
    ________.
A

13.89

19
Q

A population is normally distributed with a standard deviation of 18.5. 69.85% of
the values in this population are greater than 93. The mean of the population is
________.

A

102.62

20
Q

A population is normally distributed with a variance of 50. 98.17% of the values of
the population are less than 27. The mean of the population is ________.

A

12.22

21
Q

A population is normally distributed with a mean of 340 and a standard deviation of
55. 10.93% of values in the population are less than ________.

A

272.35

22
Q

In working a binomial distribution problem by using the normal distribution, the interval, ________, should lie between 0 and n.

A

µ ± 3sigma

23
Q

A binomial distribution problem has an n of 10 and a p of .20. This problem
_______________ be worked by the normal distribution because of the size of n
and p.

A

Cannot

24
Q

A binomial distribution problem has an n of 15 and a p of .60. This problem
_______________ be worked by the normal distribution because of the size of n
and p.

A

Can

25
Q

A binomial distribution problem has an n of 30 and a p of .35. A researcher wants
to determine the probability of x being greater than 13 and to use the normal
distribution to work the problem. After correcting for continuity, the value of x that
he/she will be solving for is ________.

A

13.5

26
Q

A binomial distribution problem has an n of 48 and a p of .80. A researcher wants
to determine the probability of x being less than or equal to 35 and wants to work
the problem using the normal distribution. After correcting for continuity, the value
of x that he/she will be solving for is _______________.

A

35.5

27
Q

A binomial distribution problem has an n of 60 and a p value of .72. A researcher
wants to determine the probability of x being exactly 45 and use the normal
distribution to work the problem. After correcting for continuity, he/she will be
solving for the area between ________ and ________.

A

44.5, 45.5

28
Q

A binomial distribution problem has an n of 27 and a p of .53. If this problem were
converted to a normal distribution problem, the mean of the distribution would be
________. The standard deviation of the distribution would be ________.

A

14.31, 2.59

29
Q

A binomial distribution problem has an n of 113 and a p of .29. If this problem
were converted to a normal distribution problem, the mean of the distribution would
be ________. The standard deviation of the distribution would be ________.

A

32.77, 4.82

30
Q

A binomial distribution problem is to determine the probability that x is less than 22
when the sample size is 40 and the value of p is .50. Using the normal distribution
to work this problem produces a probability of ________.

A

.6808

31
Q

A binomial distribution problem is to determine the probability that x is exactly 14
when the sample size is 20 and the value of p is .60. Using the normal distribution
to work this problem produces a probability of ________.

A

0.1212

32
Q

A binomial distribution problem is to determine the probability that x is greater than
or equal to 18 when the sample size is 30 and the value of p is .55. Using the
normal distribution to work this problem produces a probability of ________.

A

0.3557

33
Q

A binomial distribution problem is to determine the probability that x is greater than
10 when the sample size is 20 and the value of p is .60. Using the normal
distribution to work this problem produces a probability of ________. If this
problem had been worked using the binomial tables, the obtained probability would
have been ________. The difference in answers using these two techniques is ______

A

.7517, .7550, .0033

34
Q

The exponential distribution is a_______________ distribution.

A

Continuous

35
Q

The exponential distribution is closely related to the _______________ distribution.

A

Poisson

36
Q

The exponential distribution is skewed to the ________.

A

Right

37
Q

Suppose random arrivals occur at a rate of 5 per minute. Assuming that random
arrivals are Poisson distributed, the probability of there being at least 30 seconds
between arrivals is ________.

A

.0821

38
Q

Suppose random arrivals occur at a rate of 1 per hour. Assuming that random
arrivals are Poisson distributed, the probability of there being less than 2 hours
between arrivals is ________.

A

.8647

39
Q

Suppose random arrivals occur at a rate of 1.6 every five minutes. Assuming that
random arrivals are Poisson distributed, the probability of there being between three
minutes and six minutes between arrivals is ________.

A

.2363

40
Q

Suppose that the mean time between arrivals is 40 seconds and that random arrivals
are Poisson distributed. The probability that at least one minute passes between two
arrivals is ________. The probability that at least two minutes pass between two
arrivals is ________.

A

.2231, .0498

41
Q

Suppose that the mean time between arrivals is ten minutes and that random arrivals
are Poisson distributed. The probability that no more than seven minutes pass
between two arrivals is ________.

A

.5034

42
Q

The mean of an exponential distribution equals ________.

A

1/Llambda

43
Q

Suppose that random arrivals are Poisson distributed with an average arrival of 2.4
per five minutes. The associated exponential distribution would have a mean of
_______________ and a standard deviation of _______________.

A

2.08 Minutes, 2.08 Minutes

44
Q

An exponential distribution has an average interarrival time of 25 minutes. The
standard deviation of this distribution is _______________.

A

25 Minutes

QM (5 decks)

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