The average amount of money individuals pay when buying a used car is $7,310 and the standard deviation is $1,640. Assume the amount of money individuals pay when buying a used car is normally distributed. Find the probability that for a sample of 35 individuals that purchase a used car, they will pay an average (Show your work to receive credit)

(a) The probability that for a sample of 35 individuals that purchase a used car will pay an average between $6820 to $7880 is 0.9120.

(b) The probability that for a sample of 35 individuals that purchase a used car will pay an average of more than $ 7140 is 0.7258.

Step-by-step explanation:

Let X =  amount of money individuals pay when buying a used car.

The random variable X is Normally distributed with mean μ = $7310 and standard deviation σ = $1640.

A sample of n = 35 individuals who purchase a used car is selected.

We need to compute the probability of:

(a) Between $6820 to $7880

(b) More then $7140.

(a)

Compute the probability that for a sample of 35 individuals that purchase a used car will pay an average between $6820 to $7880 as follows:

*Use a z-table for the probability.

Thus, the probability that for a sample of 35 individuals that purchase a used car will pay an average between $6820 to $7880 is 0.9120.

(b)

Compute the  probability that for a sample of 35 individuals that purchase a used car will pay an average of more than $ 7140 as follows:

*Use a z-table for the probability.

Thus, the probability that for a sample of 35 individuals that purchase a used car will pay an average of more than $ 7140 is 0.7258.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

stethere all not eveanp-by-step explanation: