# statistics

posted by .

The true highway mileage, Y, of a specific brand of hybrid vehicle has a normal distribution with a mean of 42 and a standard deviation of 1.5. Find the probability that a randomly selected hybrid vehicle gets more than 38 miles to the gallon.

• statistics -

μ=42
σ=1.5
so
Z(38)=(38-μ)/σ
Look up a normal distribution table for the probability of exceedingZ(38), which is the same as the probability of not exceeding -Z(38).

Post your answer for checking if you wish.

• statistics -

.9961

• statistics -

.0039 or 39%

## Similar Questions

1. ### MATH Prob.

A study of motor vehicle rates in the 50 states reveals that traffic death rates (deaths per 100 million motor vehicle miles driven) can be modeled by the normal curve. The data suggest that the distribution has a mean of 5.3 and a …
2. ### general maths

A study of motor vehicle rates in the 50 states reveals that traffic death rates (deaths per 100 million motor vehicle miles driven) can be modeled by the normal curve. The data suggest that the distribution has a mean of 5.3 and a …

4. ### Math

A normal distribution has a mean of 20 and a standard deviation of 3.What is the probability that a randomly selected x-value from the distribution is: A)at least 14?
5. ### Math

A study of motor vehicle rates in the 50 states reveals that traffic death rates (deaths per 100 million motor vehicle miles driven) can be modeled by the normal curve. The data suggest that the distribution has a mean of 5.3 and a …
6. ### Statistics

9. Assume the weight, W, of a randomly selected adult has a normal distribution with a mean of 175 pounds and a standard deviation of 10 pounds.. Find the probability, P(W < 190), that a randomly selected adult weighs less than …
7. ### algebra

A normal distribution has a mean of 98 and a standard deviation of 6. What is the probability that a randomly selected x-value from the distribution is at least 80?
8. ### Statistics

A shoe store knows that the purchase amount by its customers is a random variable that follows a normal distribution with a mean of \$30 and a standard deviation of \$9. What is the probability that a randomly selected customer will …
9. ### QNT 351

What is the probability that a randomly selected hybrid gets more than 60 miles per gallon?
10. ### statistics

the mean gas mileage for a hybrid car is 56 miles per gallon suppose that the gasoline mileage is approximately normally distributed of 3.2 miles per gallon what is the probability that a randomly selected hybrid gets more than 62 …

More Similar Questions