In 2011, New York City has a total of 11,232 motor vehicle accidents that occurred on Monday through Friday between the hours of 3 p. m. and 6 p. m. (new York State Department of Motor Vehicles website, October 24, 2012). This corresponds to mean of 14.4 accidents per hour.

a. Compute the probability of no accidents in a 15-minute period.

b. Compute the probability of at least one accident in a 15-minute period.

c. Compute the probability of four or more accidents in a 15-minute period.

Step-by-step explanation:

a. #We notice this is a Poisson probability function expressed as:

x-number of occurrences in a given interval.

-mean occurrences of the event

-The mean is calculated as:

#the probability of no accidents in a 15-minute period is :

Hence, the probability of no accident in a 15-min period is

b. The the probability of at least one accident in a 15-minute period. is calculated as:

Hence,  the probability of at least one accident in a 15-minute period is

c. The probability of four or more accidents in a 15-minute period is calculated as:

Hence,the probability of four or more accidents in a 15-minute period. is  0.9997

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step-by-step explanation:

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.