The number of cars appearing in a car park follows a Poisson distribution with a mean of 10 cars per hour. Find the probability of there being: (a) The expected number of cars in the first 30 minutes of an hour (b) Exactly 5 cars in a 30 minute interval, (c) At most 3 cars in a 10 minute interval,

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The number of cars appearing in a car park follows a Poisson distribution with a mean of
10 cars per hour. Find the probability of there being:
(a) The expected number of cars in the first 30 minutes of an hour
(b) Exactly 5 cars in a 30 minute interval,
(c) At most 3 cars in a 10 minute interval,
(d) More than 4 cars in a 15 minute interval,
(e) Exactly 1 car in each of three consecutive 5 minute intervals.
Transcribed Image Text:The number of cars appearing in a car park follows a Poisson distribution with a mean of 10 cars per hour. Find the probability of there being: (a) The expected number of cars in the first 30 minutes of an hour (b) Exactly 5 cars in a 30 minute interval, (c) At most 3 cars in a 10 minute interval, (d) More than 4 cars in a 15 minute interval, (e) Exactly 1 car in each of three consecutive 5 minute intervals.
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