SOLVING_PROBABILITY AND PROBABILITY DISTRIBUTION

Question 1

What is the probability in getting a total of five by tossing a pair of dice?

Answer 1

0.11

Question 2

What is the probability of producing a material with a compressive strength of high?
Level Frequency
High. 32
Moderate. 15
Low. 3
TOTAL. 50

Answer 2

0.64

Question 3

Keji decided to guess on the remaining 10 items of the multiple-choice examination because he is running out of time. Each problem has 5 choices. What is the probability that Keji will get 3 of the questions correctly?

Answer 3

0.2013

Question 4

Bits are sent over a communications channel in packets of 12. If the probability of a bit being corrupted over this channel is 0.1 and such errors are independent, what is the probability that no more than 2 bits in a packet are corrupted?

Answer 4

0.8890

Question 5

The students in Engineering Data Analysis class
usually ask a total of 4 questions per day. What is the probability that no one will ask a question t o m o r r o w ?

Answer 5

0.0183

Question 6

Vehicles arrive a t a n intersection randomly a n d independently and at an average rate of 360 vehicles per hour. The traffic lights at the intersection go through a complete cycle in 40 seconds. During the green light, only seven vehicles can pass through the intersection. What is the probability that fewer than three vehicles arrive during one cycle?

Answer 6

0.2381

Question 7

Suppose we randomly select 5 cards without replacement from an
ordinary deck of playing cards. What is the probability of getting
exactly 2 red cards (i.e., hearts or diamonds)?

Answer 7

0.32513

Question 8

A small voting district has 101 female voters and 95 male voters.
A random sample of 10 voters is drawn. What is the probability
exactly 7 of the voters will be female?

Answer 8

0.130