PLEASE ANSWER ALL 7 QUESTIONS. WILL GIVE YOU A GREAT REVIEW

Section I: Multiple Choice 1. Find mean of the sample for the following sample data: 2, 7, 4, 5, 1 A. 4.75 B. 19 C. 56 D. 3.8 E. none of these Find the standard deviation for the following sample data: 2, 4, 7, 5, 1 A. 2.14 B. 4.56 C. 2.39 D. 5.7 E. none of these Chebyshev's Theorem states that at least 89% of a data set falls within how many standard deviations of the mean? A. 1 B. 2 C. 3 D. 4 E. none of these Suppose that you choose one card at random from a standard deck of 52 playing cards. Find the probability that it is a King and a Heart? A. 1/4 B. 1/52 C. 0.08 D. 4/52 E. none of these Suppose that you choose one card at random from a standard deck of 52 playing cards. Find the probability that it is a Queen or a Red card? A. 28 B. 29/52 C. 16/52 D. 28/52 E. none of these Suppose that n = 8 and p = 0.35 in a binomial distribution. Find the probability that x=2. A. 0.259 B. -0.26 C. 2.8 D. 0.26 E. none of these Suppose a person takes a 10 question true or false test and guesses at the answers. Find the probability of getting at most 4 answers correct. A. 0.205 B. 0.623 C. 0.377 D. 0.172 E. none of these