The average starting salary of this year’s graduates of a large university (lu) is $20,000 with a standard deviation of $8,000. furthermore, it is known that the starting salaries are normally distributed.

a. what is the probability that a randomly selected lu graduate will have a starting salary of at least $30,400?

b. individuals with starting salaries of less than $15,600 receive a low income tax break. what percentage of the graduates will receive the tax break?

c. what are the minimum and the maximum starting salaries of the middle 95% of the lu graduates?

An insurance company estimates the probability of an earthquake in the next year to be 0.0015. the average damage done to a house by an earthquake it estimates to be $90,000. if the company offers earthquake insurance for $150, what is company`s expected value of the policy? hint: think, is it profitable for the insurance company or not? will they gain (positive expected value) or lose (negative expected value)? if the expected value is negative, remember to show "-" sign. no "+" sign needed for the positive expected value

Horace society is planning its annual western fair raceway gala. the gala committee has assembled the following expected costs for the event: dinner (per person) $10 gaming token and program (per person) $2 prize payouts $4,300 tickets and advertising $800 private box suite rental $1,700 lottery licenses $200 the committee members would like to charge $40 per person for the evening’s activities.required: 1. what is the break-even point for the dinner-dance (in terms of the number of persons who must attend)? 2. assume that last year only 200 persons attended the dinner-dance. if the same number attend this year, what price per ticket must be charged in order to break even? 3. refer to the original data ($40 ticket price per person). prepare a cvp graph for the dinner- dance from zero tickets up to 600 tickets sold.

Retirement investment advisors, inc., has just offered you an annual interest rate of 4.4 percent until you retire in 40 years. you believe that interest rates will increase over the next year and you would be offered 5 percent per year one year from today. if you plan to deposit $13,000 into the account either this year or next year, how much more will you have when you retire if you wait one year to make your deposit?