The amount of insurance (in thousands of dollars) sold in a day by a particular agent is uniformly distributed over the interval [5, 60]. 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) $ 32500

b)0.36

Step-by-step explanation:

Given : The amount of insurance (in thousands of dollars) sold in a day by a particular agent is uniformly distributed over the interval [5, 60].

a) The mean value for continuous uniform distribution function with interval [a,b] is given by :-

Hence, the  amount of insurance does the agent sell on an average day = $ 32500.

b) The probability density function =

Required interval =[40,60]=60-40=20

Now, the probability that the agent sells more than $40,000 of insurance on a particular day :-

Hence, the probability that the agent sells more than $40,000 of insurance on a particular day = 0.36

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w