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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!

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)

Wishing You the Best in your Studies.


RELATED QUESTIONS

5. The number of white corpuscles on a slide has a Poisson distribution with mean 3.6.... (answered by CPhill)
A sales firm receives , on average 3 calls per hour on its toll free number. Let x... (answered by CPhill)
Banner Mattress and Furniture Company wishes to study the number of credit applications... (answered by jim_thompson5910)
The number of lightening strikes in a year a top of a particular mountain has a poisson... (answered by ewatrrr)
The number of lightning strikes in a year at the top of a particular mountain has a... (answered by reviewermath)
The number of tornados striking Sunnyvale Trailer Park during a single year can be... (answered by ewatrrr)
Data for 7 corps were combined for the 20-year period, and the 140 corps-years included a (answered by Theo)
The military historian, Von Bortkewitsch, obtained the following data on the number of... (answered by reviewermath)
Suppose the number of babies born each hour at a hospital follows a Poisson distribution... (answered by Boreal)