Lemma
MediumDiscrete distributions
OpenStax, Statistics §4.6 Poisson Distribution (Optional) · Exercise 21 · Probability · Discrete distributions

Poisson Distribution (Optional) · Exercise 21

According to the South Carolina Department of Mental Health website, for every 200 U.S. women, the average number who suffer from a particular disease is one. Out of a randomly chosen group of 600 U.S. women. Determine the following:

(a) In words, define the random variable X.
(b) List the values that X may take on.
(c) Give the distribution of X. X ~ _____(_____,_____)
(d) How many are expected to suffer from this disease?
(e) Find the probability that no one suffers from this disease.
(f) Find the probability that more than four suffer from this disease.

Its source prints no answer for this problem, so there's nothing to check against.

~8 minWritten answer · compare with the solution

OpenStax, Statistics · §4.6 Poisson Distribution (Optional) · Exercise 21

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.