The amount of insurance (in thousands of dollars) sold in a day by a particular agent is uniformly distributed over the interval [5, 70]. a. what amount of insurance does the agent sell on an average day? b. find the probability that the agent sells more than $40,000 of insurance on a particular day.

a. the agent sells $ nothing of insurance on an average day.
b. the probability that the agent sells more than $40,000 of insurance on a particular day is nothing. (round to two decimal places as needed.)

a) The agent sells 37,500$ of insurance on an average day.

b) There is a 53.85% probability that the agent sells more than $40,000 of insurance on a particular day.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

The mean of this distribution is given by the following formula:

For this problem, we have that:

A. What amount of insurance does the agent sell on an average day?

The agent sells 37,500$ of insurance on an average day.

B. Find the probability that the agent sells more than $40,000 of insurance on a particular day.

There is a 53.85% probability that the agent sells more than $40,000 of insurance on a particular day.