The number of traffic accidents on a section of the M4 freeway during peak flow periods follows a Poisson distribution with a mean of 2 accidents per hour. i. If X is the random variable representing the number of accidents in 1 hour of a peak flow period then state the possible values of X. ii. Determine the probability of 3 or less accidents on this section of the M4 in a randomly selected hour during a peak flow period. iii. Let Y be the variable representing the number of accidents across a 3-hour peak flow period. State the type of distribution Y has and it’s parameter/s. Use these to determine the probability of 5 accidents during a 3-hour peak flow period.
The number of traffic accidents on a section of the M4 freeway during peak flow periods follows a Poisson distribution with a mean of 2 accidents per hour. i. If X is the random variable representing the number of accidents in 1 hour of a peak flow period then state the possible values of X. ii. Determine the probability of 3 or less accidents on this section of the M4 in a randomly selected hour during a peak flow period. iii. Let Y be the variable representing the number of accidents across a 3-hour peak flow period. State the type of distribution Y has and it’s parameter/s. Use these to determine the probability of 5 accidents during a 3-hour peak flow period.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The number of traffic accidents on a section of the M4 freeway during peak flow periods
follows a Poisson distribution with a
i. If X is the random variable representing the number of accidents in 1 hour of a peak
flow period then state the possible values of X.
ii. Determine the
selected hour during a peak flow period.
iii. Let Y be the variable representing the number of accidents across a 3-hour peak flow
period. State the type of distribution Y has and it’s parameter/s. Use these to determine
the probability of 5 accidents during a 3-hour peak flow period.
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