The average number of field mice per acre in a 5-acre wheat field is estimated to be 14. (a) Find the probability that fewer than 12 field mice are found on a given acre. (b) Find the probability that fewer than 12 field mice are found on 2 of the next 3 acres inspected.

(a)

(b)

Step-by-step explanation:

Question a

This is a Poisson distribution. The average/mean, μ = 14

So, probability that fewer than 12 field mice are found on a given acre is:

Question b

This is a Binomial distribution with:

Probability of success, p = 0.26

n = 3

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

step-by-step explanation:

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