Question

The number of miles Ford trucks can go on one tank of gas is normally distributed with a mean of 350 miles and a standard deviation of 10 miles. Find the probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles. Do not round your answer. Write your answer in decimal form, not as a fraction or percent.

Answer 1

Answer:

The probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.

Step-by-step explanation:

Let X = the number of miles Ford trucks can go on one tank of gas.

The random variable X is normally distributed with mean, μ = 350 miles and standard deviation, σ = 10 miles.

If the Ford truck runs out of gas before it has gone 325 miles it implies that the truck has traveled less than 325 miles.

Compute the value of P (X < 325) as follows:

$P(X$

Thus, the probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.