QUESTION 1Exhibit 5-10The probability distribution for the number of goals the Lions soccer team makes per game is given below.NumberOf GoalsProbability00.0510.1520.3530.3040.15Refer to Exhibit 5-10. The expected number of goals per game is012, since it has the highest probability2.354 points QUESTION 2It is known that 20% of the applications received for a particular credit card arerejected. What is the probability that among the next 15 applications there will be at least 1 rejections?.0352.9648.2309.3980none of the above4 points QUESTION 3Which of the following is a required condition for a discrete probability function?åf(x) = 0f(x) 1 for all values of xf(x) < 0åf(x) = 14 points QUESTION 4A university found that 3% of its students withdraw from anintroductory course without completing it. Assume 10 students haveregistered for the course in a semester. Use appropriate tables to find:the probability that less than 2 will drop..7374.9655.9317.0072none of the above4 points QUESTION 5An insurance company has determined that each week an average of 10 claims are filed in their Atlanta branch. Assume that the Poisson distribution is applicable. What is the probability that during the next week exactly 3 claims will be filed?.0023.0076.0337.0000none of the above.4 points QUESTION 6A retailer determines that the average number of orders per day for acertain product is 5. Assume the Poisson distribution is applicable.What is the probability that at least 2 order is received on a given day?.0023.9596.9210.0000none of the above4 points QUESTION 7An insurance company has determined that each week an average of 10claims are filed in their Atlanta branch. Assume that the Poisson distribution is applicable. What is the probability that during the next week less than 1 claims will be filed?.0000.0076.9999.0337none of the above.4 points QUESTION 8Using Z – tables find the probabilities that Z is greater than 2.32.0102.4898.4992.0019none of the above4 points QUESTION 9Using Z – tables find the probabilities that Z is between -.67 and 1.72.7059.0427.4573.4992none of the above4 points QUESTION 10Using Z – tables find z such that the area to the left of z is .64062.08.362.33.50none of the above4 points QUESTION 11Using Z – tables find z such that the area to the right of z is .052.881.281.64.52none of the above4 points QUESTION 12Exhibit 6-6The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.Refer to Exhibit 6-6. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?0.43320.93320.06680.50004 points QUESTION 13For a normal distribution, a negative value of z indicatesa mistake has been made in computations, because z is always positivethe area corresponding to the z is negativethe z is to the left of the meanthe z is to the right of the mean