An automobile service facility specializing in engine tune-ups knows that 45% of all tune-ups are done on four cylinder automobiles, 40% on six-cylinder automobiles, and 15% on eight-cylinder automobiles. Let X = the number of cylinders on the next car to be tuned.a. What is the pmf of X?b. Draw both a line graph and a probability histogram for the pmf of part (a).c. What is the probability that the next car tuned has at least six cylinders?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An automobile service facility specializing in engine tune-ups knows that 45% of all tune-
ups are done on four cylinder automobiles, 40% on six-cylinder automobiles, and 15% on

eight-cylinder automobiles. Let X = the number of cylinders on the next car to be tuned.
a. What is the pmf of X?
b. Draw both a line graph and a probability histogram for the pmf of part (a).
c. What is the probability that the next car tuned has at least six cylinders?

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