Statistics Sta 2023 Quiz 3

STATISTICS STA 2023 QUIZ 3 QUESTION 1 Find the indicated probability. A die with 6 sides is rolled. What is the probability of rolling a number less than 5? 4 2/3 1/6 5/6 QUESTION 2 From the information provided, create the sample space of possible outcomes. Two white mice mate. The male has both a white and a black fur-color gene. The female has only white fur-color genes. The fur color of the offspring depends on the pairs of fur-color genes that they receive. Assume that neither the white nor the black gene dominates. List the possible outcomes. WB, BW WW, BB WW, WW WW, BW QUESTION 3 Find the indicated probability. If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade? 25/52 9/26 11/26 1/22 QUESTION 4 Find the indicated probability. Round to the nearest thousandth. In a batch of 8,000 clock radios 5% are defective. A sample of 14 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? 5 points 5 points 5 points 0.0714 0.512 0.488 0.0500 QUESTION 5 Evaluate the expression. 34 210 5040 6 QUESTION 6 Solve the problem. There are 6 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? 20 720 120 216 QUESTION 7 Find the mean of the given probability distribution. The number of golf balls ordered by customers of a pro shop has the following 5 points probability distribution. 6.99 7.86 9 9.66 QUESTION 8 Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting 9 or more girls. 5 points 5 points 5 points 0.001 0.212 0.122 0.061 QUESTION 9 Provide an