Suppose you sign up to take a standardized test to get into graudate school.  This test discourages guessing by subtracting points for wrong answers.  In particular, a correct answer will be worth +1 point, and an incorrect answer on a question with five listed answers (a through e) will be worth -1/4 point.   a)  Find the expected value of a random guess.

Suppose you take a 10 question quiz, with 4 options choices, only one is correct. What is the probability that you will get less than a 50%

Students were all given a test that they ALL guess on. It had 10 questions and each were true or false. What is the probability that someone scored 0 or 10%

Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal. If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is The probability that 3 out of the next 5 voters approving the proposal is

Guadalupe buys a bag of cookies that contains 6 chocolate chip cookies, 9 peanut butter cookies, 9 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Guadalupe randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? (Round your answer to 4 decimal places.)

You pay $20 to enter a raffle.  The first ticket drawn wins $1036, the second ticket drawn wins $477, the third through fifth win $186, and the sixth through tenth win $49.  Suppose 2345 tickets were sold.  What is the expected earning on your ticket?

A sample of n = 64 scores has a mean of M = 45 and an estimated standard error of 3 points. What is the sample variance?​ Select one: a. ​ s2 = 113 b. ​ s2 = 576 c. ​ s2 = 498 d. ​ s2 = 502

PLEASE EXPLAIN EACH STEP FOR CALCULATION OF THE PROBLEM USING A TI-84 CALCULATORFrom experience, you know that 83% of the desks in the schools have gum stuck beneath them. In a random sample of 14 desks. n = 14 p= 0.83 a) Compute the probability that all of them have gum underneath. Compute the probability that 10 or less desks have gum.

Lompete your answers on a separate sheet of paper and upload to the assignment posted for this test. Ti A 5. Roughly 2.19% of the US population has red halr. Of those with red hair, approdmately 20% have green eyes. Of the US population who do not have red hair approdimately 2% have green eyes. 1. (a). What is the probability that a randomly selected person from the US does not have red hair and does not have green eyes? (b) Given that a randomly selected person from the US does not have red hair, what is the probability that they have green eyes? (c) Given that a person from the US does not have green eyes, what is the probability that they do not have red hair? (d) What is the probability of randomly selecting a person from the US that has green eyes? (e) Given that a randomly selected person from the US does have green eyes, what is the probability that they have red hair? () Assuming that the population in the US is very large (it is!), what is the probability of randomly selecting…

A magazine subscription service is having a contest in which the prize is 180000. If the company receives 3 million entries, which is the expection of the contest?