- Question 1 An Analysis For The Final Test Score For The Statistics Course Reveals The Score Follows A Normal Probabilit 1 (194.73 KiB) Viewed 32 times
Question 1: An analysis for the final test score for the Statistics course reveals the score follows a normal probability distribution. The mean of the distribution is 72 and the standard deviation is 9. The professor wants to award an A to the students whose scores is in the highest 20%. What is the dividing point for those students who earn an A and those earning a B? [2 marks] Question 2: Walmart is having a special sale this weekend. Customers charging purchases of more than $70 to their store credit card will be given a special Walmart Lottery card. The customer will scratch off the card, which will indicate the amount to be taken off the total amount of the purchase. Listed below are the amount of the prize and the percent of the time that amount will be deducted from the total amount of the purchase. Discount Amount $11 $16 $26 $50 Probability .60 .30 .08 .02 a. What is the expected amount of discount that will be given to customers charging more than $70 to their store credit card? [2 Marks] b. What is the standard deviation? [2 marks] Question 03: Past data from a soccer league suggests that 12% of new players sustain a serious injury within the first year of their arrival in a new club. Leeds United recruited 10 new payers this season. a. What is the probability that none of these players will sustain any serious injury this year? [2 Mark] b. What is the probability that exactly two of these players will sustain a serious injury this year? [2 Mark] Question 4: Suppose an automobile company has the following rules. Cars would be leased for a maximum of 5-years The highest usage allowed during the lease period is 80,000 miles. If the lessee goes beyond this limit, a penalty of 25 cents per mile is added to the lease cost. The distribution of miles driven on 5-year leases follows the normal distribution. The mean is 65,000 miles and the standard deviation is 7,000 miles. Answer the following: C. a. What percent of the leases will yield a penalty because of excess mileage? [2 marks] b. If the automobile company wanted to change the terms of the lease so that 27% of the leases went over the limit, where should the new upper limit be set? [2 marks] One definition of a low mileage car is one that is 5-years old and has been driven less than 45,000 miles. What percentage of the cars returned are considered low mileage? [2 marks] Question 5: The government's corporate governance team has 9 members, 5 male and 4 female. In light of the recent debacle at Rogers Telecommunication the government has decided to commission an inquiry. Three of the 9-member corporate governance team will form the team that will conduct the inquiry. The members will be chosen in random. a. What is the probability that all three members chosen will be female? [2 marks] b. What is the probability that all three members chosen will be male? [2 Marks]