Let the mean success rate of a Poisson process be 8 successes per hour. Find the

Question

Let the mean success rate of a Poisson process be 8 successes per hour.

Find the expected number of successes in a half-hour period.

Find the probability of at least 2 successes in a given half-hour period. (Round your intermediate calculations and final answer to 4 decimal places.)

Find the expected number of successes in a two-hour period.

Find the probability of 10 successes in a given two-hour period. (Round your intermediate calculations and final answer to 4 decimal places.)

Let the mean success rate of a Poisson process be 8 successes per hour.

Explanation / Answer

the expected number of successes in a half-hour period. =4

b) P(X>=2) in half hour

= 0.9084

c)

  Expected number of successes
(in 2 hours) = 8x2 = 16

d) P(x=10 when mean = 16)

= 0.0341

  Expected number of successes
(in 2 hours) = 8x2 = 16

d) P(x=10 when mean = 16)

= 0.0341

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