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 · check your work with Lemma

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

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.