4. value: 6.66 points Let the mean success rate of a Poisson process be 6 succes

Question

4. value: 6.66 points Let the mean success rate of a Poisson process be 6 successes per hour. a. Find the expected number of successes in a 44 minutes period. (Round your final answer to 1 decimal place.) Expected number of successes b. Find the probability of at least 2 successes in a given 44 minutes period. (Round your answer to 4 decimal places.) Probability c. Find the expected number of successes in a one hour 54 minutes period. (Round your final answer to 1 decimal place.) Expected number of successes d. Find the probability of 11 successes in a given one hour 54 minutes period. (Round your answer to 4 decimal places.) Probability

Explanation / Answer

a. expected number of succeses = (44/60)*6 = 4.4

b.

Cumulative Probability: P(X > 2) = 0.9337

c)

expected number of succeses = (54/60)*6 = 5.4

d)

Poisson Probability: P(X = 11) = 0.0129

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