Let Y be a discrete random variable with probability mass function p(y). Let k be a constant. Suppose p(y) = ky for y = 1; 2; 3; 4; 5. For any other…

1. Let Y be a discrete random variable with probability mass function p(y). Let k be a constant. Suppose p(y) = ky for y = 1; 2; 3; 4; 5. For any other values of y, p(y) = 0. Determine the value of k. ____________________________________________________________ 2. A student randomly guesses on a five question multiple choice exam (and hence independence between each question can be assumed). The probability of correctly guessing each question is 0.2. Let X be the random variable for the number of correct guesses. (i) Explain why this scenario follows a binomial probability model.(ii) Determine the probability […]

Suppose that a researcher decides that he MUST obtain a Type 1 error level of no more than .01 in order to reject the null hypothesis.

A. retain the null hypothesis because .05 is greater than .01. B. retain the null hypothesis because .05 is merely sampling error. C. reject the null hypothesis because .05 is close to .01. D. reject the null hypothesis because .05 is greater than .01.

An Olymipic archer is able to hit the bull’s-eye 80% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what’s the…

An Olymipic archer is able to hit the bull’s-eye 80% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what’s the probability of each result described below.a. Her first bull’s-eye comes on the third arrow.b. She misses the bull’s-eye at least once.c. Her first bull’s-eye comes on the fourth or fifth arrow.d. She gets exactly 4 bull’s-eyes e. She gets at least 4 bull’s-eyesf. She gets at most 4 bull’s0-eyes