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.

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