Question

The amount of insurance (in thousands of dollars) sold in a day by a particular agent is uniformly distributed over the interval [20, 85). A. What amount of insurance does the agent sell on an average day? B. Find the probability that the agent sells more than $55,000 of insurance on a particular day. A. The agent sells $ 52,500 of insurance on an average day. B. The probability that the agent sells more than $55,000 of insurance on a particular day is . (Round to two decimal places as needed.)

Answer 1

It is given that the amount of insurance fin thousands of dollars) sold in a day by a perticular agent is uniformaly distributed defined .. - f(x) for x in [20,85] b-a ca) Amount of insurance that the agent sell on an average day in the expected value for the uniform distribution and can be written as ; تلل atb 2 u 85 +20 2 $2.5 for 1000 dollars U = 52.5 X 1000 52 500 (6) The probability that the agent sells more than 55 thousands of insurance on a on a perticular day can be written as;

leonata francia 85 Pex>55) - S dx 85-20 55 85 85-20 55 (85-55) 65 30 65 P(XXS) - 0.46