Geometric Distribution · Exercise 13
Medical researchers in a certain country have documented that the percentage of people ages 15 to 49 who are infected with a certain respiratory virus is 17.3%. Let X = the number of people you test until you find a person infected with the virus.
(a) Sketch a graph of the distribution of the discrete random variable X.
(b) What is the probability that you must test 30 people to find one with the virus?
(c) What is the probability that you must ask ten people?
(d) Find the (i) mean and (ii) standard deviation of the distribution of X.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Statistics 2e · §4.4 Geometric Distribution · Exercise 13
No hints for this one.
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.