In a clinical study, volunteers are tested for a gene that has been found to inc

Question

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. How many people are expected to be tested before 2 with the gene are detected? a. Binomial b. Negative Binomial c. Hypergeometric d. Poisson e. Normal f. Exponential g. Lognormal A second-stage smog alert has been called in a certain area in Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. If 15 of the firms are actually violating at least one regulation, what is the probability that none of the ten of the visited firms will have a violation? a. Binomial b. Negative Binomial c. Hypergeometric d. Poisson e. Normal f. Exponential g. Lognormal Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently. What is the probability that every passenger who shows up can take the flight? a. Binomial b. Negative Binomial c. Hypergeometric d. Poisson e. Normal f. Exponential g. Lognormal

Explanation / Answer

Question 1:

The probability that a person is carrying a gene is given as p = 0.1

The expected number of people that are to be tested to find 2 people with this gene here would be computed using the negative binomial probability as:

= r/p

= 2/0.1

= 20 people

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