Question

Suppose that x has a Poisson distribution with μ = 19.

(a)	Compute the mean, μx, variance, σ2x

, and standard deviation, σ_x. (Do not round your intermediate calculation. Round your final answer to 3 decimal places.)

  µ_x = , σ_x² = , σ_x =

(b)

Calculate the intervals [μx ± 2σx] and [μx ± 3σx ]. Find the probability that x will be inside each of these intervals. Hint: When calculating probability, round up the lower interval to next whole number and round down the upper interval to the previous whole number. (Use the value for standard deviation from part a. Round all your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)

[µx ± 2σx]	[ , ]
P( ≤x ≤ )
[µx ± 3σx]	[ , ]
P( ≤x ≤ )

Answer 1