SOLUTION: 5. The number of white corpuscles on a slide has a Poisson distribution with mean 3.4. a. Find the most likely number of white corpuscles on a slide. b. Calculate correct to thre

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Question 1196594: 5. The number of white corpuscles on a slide has a Poisson distribution with mean 3.4.
a. Find the most likely number of white corpuscles on a slide.
b. Calculate correct to three decimal places the probability of obtaining this number.
c. If such two slides are prepared, what is the probability, correct to three decimal places, of obtaining at least one white corpuscle in total on the two slides?

Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

The number of white corpuscles on a slide has a Poisson distribution with mean 3.4.
a.  the most likely number of white corpuscles on a slide = 3 (need whole number)

b. P(x=3) = poissonpdf(3.4, 3) = .219 (3 decimal points)

c. P(obtaining at least one white corpuscle in total on the two slides)
P(x=0) = poissonpdf(3.4, 0) = .033   Using complement(at least 1) = 1 - .033 = .967 (on a slide)
P(of obtaining at least one white corpuscle in total on the two slides)
1- (.033)(.033)

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