# Question: In a clinical study volunteers are tested

In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability that a person carries the gene is 0.1.

(a) What is the probability 4 or more people will have to be tested before 2 with the gene are detected?

(b) How many people are expected to be tested before 2 with the gene are detected?

(a) What is the probability 4 or more people will have to be tested before 2 with the gene are detected?

(b) How many people are expected to be tested before 2 with the gene are detected?

**View Solution:**## Answer to relevant Questions

Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is, of not obtaining a busy signal. Assume that your calls are independent. (a) What is the probability that your ...Show that the probability density function of a negative binomial random variable equals the probability density function of a geometric random variable when r _ 1. Show that the formulas for the mean and variance of a ...Suppose X has a hypergeometric distribution with N = 20, n = 4, and K = 4. Determine the following: (a) P(X = 1) (b) P(X =4) (c) P(X =2 (d) Determine the mean and variance of X.Continuation of Exercises 3-86 and 3-87. (a) Calculate the finite population corrections for Exercises 3-86 and 3-87. For which exercise should the binomial approximation to the distribution of X be better? (b) For ...The number of failures for a cytogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.01 per 100 samples. (a) If the lab usually processes 500 samples per day, what is the ...Post your question