Fifteen samples of rejuvenated mitochondria are inspected to…

Fifteen samples of rejuvenated mitochondria are inspected to see if they have mutated or not. Historical data show that 2% of this type of mitochondria will have mutated.  This copywritten question is part of a quiz or exam at Arizona State.  It may not be posted on Chegg.com or any other website or reproduced without the permission of the author, Dr. L. Chattin, and Arizona State University.    If you wanted to determine the probability that three of these 15 have mutated, what would be the best definition of the random variable, X, that you would use?  X is _____________________________.

A firm rents cars from two agencies: 35% from Avis and 65% f…

A firm rents cars from two agencies: 35% from Avis and 65% from Enterprise.  Five percent of the Avis cars have bad tires and 10% of the Enterprise cars have bad tires.  This question is copywritten by Arizona State University and Linda Chattin.  It may not be posted to any website, may not be texted to anyone, and may not be screenshot or photographed.  Given that we have a car with bad tires, what is the probability it is from Avis?  If your answer is non-integer, express it to four decimal places.

Twenty-two parts from a metal punching process are selected…

Twenty-two parts from a metal punching process are selected and inspected in sequence to determine if they pass or fail.  Typically, 3% of the parts fail.  This copywritten question is part of a quiz or exam at Arizona State.  It may not be posted on Chegg.com or any other website or reproduced without the permission of the author, Dr. L. Chattin, and Arizona State University.   The expected number of parts that do not fail is _________________. Exact answer please.