Opre homework 2

question 27

Question 31 An experiment consists of three steps. There are 4 possible results on the first step, 3 possible results on the second step, and 2 possible results on the third step. The total number of experimental outcomes is O a. 14 O b. 9 O c. 36 O d. 24An official from the securities commission estimates that 80% of all online bankers have profited from the use of insider information. Assume that 20 online bankers are selected at random from the commission's registry. Define X as the number of online bankers has profited from the use of insider information. Find the probability that at most 15 online bankers have profited from insider information. If you want to use Excel to solve this question, download this blank sheet: Blank sheet.xIsx O a. 0.630 O b.0.196 O c. 0.175 O d.0.370Question 30 If two events are independent, then O a. they must be mutually exclusive O b. the sum of their probabilities must be equal to one O c. the probability of their intersection must be zero O d. None of the other answers is correctDelicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actual weight of the chocolate has a Uniform distribution ranging from 31 to 32.5 ounces. What is the Standard Deviation of weight of the chocolate? O a. 0.1875 O b. 0.3535 O c. 0.1250 O d. 0.4330Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6. If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award? If you want to use Excel to solve this question, download this blank sheet: Blank sheet.xIsx O a. 68.24 O b. 75.95 O c. 84.05 O d. 91.76Question 27 A measure of the average value of a random variable is called a(n) O a. Covariance O b. Variance O c. Standard deviation O d. Expected value