Question: 1.Check whether the given function is a probability density function. If a function fails to be a probability density function, say why. f ( x
1.Check whether the given function is a probability density function. If a function fails to be a probability density function, say why.
f(x) =ex on[0, ln3]
Yes, it is a probability function.
No, it is not a probability function becausef(x) is not greater than or equal to 0 for everyx.
No, it is not a probability function becausef(x) is not less than or equal to 0 for everyx.
No, it is not a probability function becauseln 3
f(x)dx0 1.
No, it is not a probability function becauseln 3
f(x)dx0 = 1.
2.Find the value ofkfor which the given function is a probability density function.
f(x) =4k on[1, 1]
3.Find the value ofkfor which the given function is a probability density function.
f(x) =kekx on[0,2]
4.Assuming that workers' salaries in your company are uniformly distributed between$20,000and$45,000per year, find the probability that a randomly chosen worker earns an annual salary between$25,000and$35,000.
5.Your company's new series "Avocado Comedy Hour" has been a complete flop, with viewership continuously declining at a rate of35%per month. Use a suitable density function to calculate the probability that a randomly chosen viewer will be lost sometime in the nextfourmonths. (Round your answer to four decimal places.)
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