all specifications, what is the probability that the shipment will make it through the control check?11. Using number 10 above, what is the probability that a shipment in which only 70% of the articles meet specifications will make it through the control check?
12. Joe DiMaggio had a career batting average of .325. What is the probability that he would get at least one hit in five official times at bat?13. A grocery store manager notes that 35% of customers who buy a particular product make use of a store coupon to receive a discount. If seven people purchase the product, what is the probability that fewer than four will use a coupon?14. Concessionaires know that attendance at a football stadium will be 60,000 on a clear day, 45,000 if there is light snow,and 15,000 if there is heavy snow. Furthermore, the probability of clear skies, light snow, or heavy snow on any particular day is ½, 1/3, and 1/6., respectively. What average attendance should be expected for the season?15. In a lottery, 10,000 tickets are sold at $1 each with a prize of $7500 for one winner. What is the average result for eachbettor?16. A manager must choose among three options. Option A has a 10% chance of resulting in a $250,000 gain but otherwise will result in a $10,000 loss. Option B has a 50% chance of gaining $40,000 and 50% chance of losing $2000. Finally, option C has a 5% chance of gaining $800,000 but otherwise will result in a loss of $20,000. Which option shouldthe manager choose?17. Of the automobiles produced at a particular plant, 40% had a certain defect. Suppose a company purchases five of these cars. What is the expected value of the number of cars with defects?18. The life expectancy of a particular brand of lightbulb is normally distributed with mean of 1500 hours and a standard deviation of 75 hours.(a) What is the probability that a lightbulb will last less than 1410 hours?(b) What is the probability that a lightbulb will last between 1416 and 1450 hours?(c) What is the probability that a lightbulb will last between 1563 and 1648 hours? 19. A packing machine is set to fill a cardboard box with a mean average of 16.1 ounces of cereal. Suppose the amounts per box form a normal distribution with a standard deviation of 0.04 ounces. (a) Ten percent of the boxes will contain more than what number of ounces?(b) Eighty percent of the boxes will contain more than what number of ounces?(c) What percentage of the boxes will end up with at least 1 pound of cereal?(d) The middle 90% of the boxes will be between what two weights?20. One- thousand students at a city high school were classified according to both GPA and whether or not they consistently skipped school. GPA<2.02.0-3.0>3.0Many skipped school 8025Few skipped school175450265(a) What is the probability that a student has a GPA between 2.0 and 3.0?(b) What is the probability that a student has a GPA under 2.0 and has skipped many classes?(c)What is the probability that a student has a GPA under 2.0 or has skipped many classes?(d) What is the probability that a student has a GPA under 2.0 given that he has skipped many classes?(e) Are events “GPA between 2.0 and 3.0” and “skipped many classes” independent events? Explain.21. When describing a graphical display, if the shape is approximately symmetric, you should use _________ as a 5