# statistics

Weights of a certain model of fully loades gravel trucks follow a normal distrbution with mean = 6.4 tons and standard deviation = 0.3 ton. Waht is the probability that a fully loaded truck of this model is
a. less than 6 tons?
b. more that 7 tons?
c. between 6 and 7 tons?

1. 👍 0
2. 👎 0
3. 👁 248
1. Z = (score-mean)/SD

a. Z = (6-6.4)/.3

Calcuate Z score and find its value in the table in the back of your stat text labeled something like "areas under normal distribution" to get the probability.

Use similar processes for b abd c.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra (Normal Distribution)

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is about

2. ### agebra

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic. Which weights are within 2 standard deviations of the mean? Check all that apply.

3. ### Algebra 2

"At a school sponsored car wash, the fees charged were: \$5 per car, \$8 per truck, \$10 per van. Twice as many cars were washed as pickup trucks. The amount collected for washing cars and pickup trucks was \$360. A total of \$410 was

4. ### ashford university

Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 40 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty

1. ### statistics

A consumer research organization is attempting to determine whether there is any difference in mpg for fully loaded 22-foot trucks leased from three companies, A-Haul, Bertz, and Glyder. Five of these trucks are rented from each

2. ### physics

Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway trucks that have lost their brakes. The combination of a slight upward slope and a large coefficient of

3. ### math

Lydia Rise us building a terraium and needs to buy two sizes of gravel and soil to go in the bottom. The terraiun is 24 in longs, 14 in wide, and 15 in tall. A.The bottom layer is pea gravel and needs to be 2 inches deep. How many

4. ### MATH

A contractor purchases gravel one cubic yard at a time. (a) A gravel driveway L yards long and 6 yards wide is to be poured to a depth of 1 foot. Find a formula for n(L), the number of cubic yards of gravel the contractor buys,

1. ### math

a pharmacist uses 5 separate weights: 1g, 2g,4g,8g and 16g. If the pharmacist can combine these weights to create a new weight, how many different weights are possible?

2. ### Statistics

Suppose a certain species bird has an average weight of xbar 3.40 grams. Based on previous studies, we can assume that the weights of these birds have a normal distribution with sigma 0.29 grams. Find the sample size necessary for

3. ### math

In a mixture of​ concrete, there are four lb of cement mix for each pound of gravel. If the mixture contains a total of 215 lb of these two​ ingredients, how many pounds of gravel are​ there?

4. ### Physics

An empty SG bottle weights 25 g.When filled with water completely it weights 55 g and with alcohol it weights 48 g. Find the RD of alcohol A numerical