Expected value for binomial distribution

Reference no: EM1312076

Expected value for binomial distribution:

1. Let X denote the prison sentence, in years, for people convicted of auto theft in a particular state in the United States. Suppose that the pdf of X is given by(Requires Calculus)

f(x) = (1/9)x², 0 < x < 3

Use integration to find the expected prison sentence.

2. If the basket ball player is a 74% free throw shooter, then, on average, how many free throws will he or she make in a game with eight free throw attempts?

3. Let X denotes the annual salary of university professors in the United States, measured in thousands of dollars. Suppose that the average salary is 52.3, with a standard deviation of 14.6. Find the mean and standard deviation when salary is measured in dollars.

Reference no: EM1312076

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