Lemma
MediumDiscrete distributions
OpenStax, Statistics §4.3 Binomial Distribution (Optional) · Exercise 29 · Probability · Discrete distributions

Binomial Distribution (Optional) · Exercise 29

Let X = the number of games won in that upcoming month.

According to the World Bank, only 9 percent of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 150 people in Uganda. Let X = the number of people who have access to electricity.

(a) What is the probability distribution for X?
(b) Using the formulas, calculate the mean and standard deviation of X.
(c) Use your calculator to find the probability that 15 people in the sample have access to electricity.
(d) Find the probability that at most 10 people in the sample have access to electricity.
(e) Find the probability that more than 25 people in the sample have access to electricity.

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 · §4.3 Binomial Distribution (Optional) · Exercise 29

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.