$366. He also estimates that the probability is 6.6 that the total bill will be less than $466. - a. What is the probability that the total bill will be between $366 and $466? - b. Given no further informationr what can be said about the probability that the total bill will be less than $466? 5.16 The profit for a production process is equal to $1.666 minus two times the number of units produced. The mean and variance for the number of units produced are 56 and 66. respectively. Find the mean and variance of the profit. 5.11 The profit for a production process is equal to $2.666 minus two times the number of units produced. The mean and variance for the number of units produced are 566 and 666, respectively. Find the mean and variance of the profit. 6 5.14 A contractor submits a bid on a project for which more research and development work needs to be done. it is estimated that the total cost of satisfying the project specifications will be $26 million plus the cost of the further research and development work. The contractor views the cost of this additional work as a random variable with a mean of $4 million and a standard deviation of $1 million. The contractor wishes to submit a bid such that his expected profit will be 16% of his expected costs. What should be the bid? If this bid is accepted. what will be the standard deviation of the prot made by the project? 5.15 A charitable organization solicits donations by telephone. Employees are paid $66 plus 26% of the money their calls generate each week. The amount of money generated in a week can be viewed as a random variable with a mean of $?66 and a standard deviation of $136. Find the mean and standard deviation of an employee's total pay in a week. 5.16 Let the random variableZ TGIIDW a standard normal distribution. - a. The probability is 6.?6 that? is less than what number? - b. The probability is 6.25 that? is less than what number? ' c. The probability is 6.2 thatZ is greater than what number? - d. The probability is 6.6 that E is greater than what number