Question

The volumes of backpacks are normally distributed with a mean of 600 cubic inches and a...

The volumes of backpacks are normally distributed with a mean of 600 cubic inches and a standard deviation of 100 cubic inches.

a. Find the probability that a backpack is between 500 and 700 cubic inches.

b. Find the probability that a backpack is bigger than 450 cubic inches.

c. Find the probability that a backpack is smaller than 800 cubic inches.

d. Find the volume t, such that 95% of volumes are smaller than t.

e. The middle 80% of volumes fall between which two values.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The volumes of backpacks are normally distributed with a mean of 550 cubic inches and a...
The volumes of backpacks are normally distributed with a mean of 550 cubic inches and a standard deviation of 100 cubic inches. a. Find the probability that a backpack is between 500 and 700 cubic inches. b. Find the probability that a backpack is bigger than 450 cubic inches. c. Find the probability that a backpack is smaller than 600 cubic inches. d. Find the volume t, such that 95% of volumes are smaller than t. e. The middle 80%...
An adult height in North America is normally distributed with a mean of 65 inches and...
An adult height in North America is normally distributed with a mean of 65 inches and a standard deviation of 3.5 inches. 1. Find the probability that the height is between 64 and 66 inches P(64<X<66) 2. Find the probability that the height is greater than 70 inches. P(X>70). 3. The middle 40% of heights fall between what two values? P(x1 < X < x2) so beyond lost on this one
The time for a certain female student to commute to SCSU is Normally Distributed with mean...
The time for a certain female student to commute to SCSU is Normally Distributed with mean 32.5 minutes and standard deviation of 6.5 minutes. Find the probability her commuting time is more than 40 minutes. Find the probability her commuting time is less than 43 minutes. Find the value t such that 10% of her commuting times are greater than t. Between which two values will the middle 70% of her commuting times fall? Find the probability her commuting time...
The time for a certain female student to commute to SCSU is Normally Distributed with mean...
The time for a certain female student to commute to SCSU is Normally Distributed with mean 32.5 minutes and standard deviation of 6.3 minutes. A. Find the probability her commuting time is more than 40 minutes. B. Find the probability her commuting time is less than 43 minutes. C. Find the value t such that 10% of her commuting times are greater than t. D. Between which two values will the middle 70% of her commuting times fall? E. Find...
Heights for group of people are normally distributed with mean = 60 inches and standard deviation...
Heights for group of people are normally distributed with mean = 60 inches and standard deviation = 2.5 inches. Find the proportion, P, of people in the group whose heights fall into the following ranges. (Round your answers to four decimal places.) (a) Between 59 inches and 60 inches. P =___ (b) Between 54 inches and 66 inches. P =___ (c) Less than 66 inches. P =____ (d) Greater than 54 inches. P =_____ (e) Either less than 54 inches...
Assume that the heights of women are normally distributed with a mean of 63.6 inches and...
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. a) Find the probability that if an individual woman is randomly selected, her height will be greater than 64 inches. b) Find the probability that 16 randomly selected women will have a mean height greater than 64 inches.
Maple tree diameter in a forest is normally distributed with a mean of 10 inches and...
Maple tree diameter in a forest is normally distributed with a mean of 10 inches and a standard deviation of 2.2 inches. Which interval contain the middle 95% A. (7.8,12.2) B. (3.4,16.6) C. (5.6,14.4) D. (7.8,14.4)
Sale amounts during lunch hour at a local subway are normally distributed, with a mean $...
Sale amounts during lunch hour at a local subway are normally distributed, with a mean $ 8.21, and a standard deviation of $ 1.26. a. Find the probability that a randomly selected sale was at least $ 12.74? b. A particular sale was $ 5.86. What is the percentile rank for this sale amount? c. Give the sale amount that is the cutoff for the highest 95 %? d.What is the probability that a randomly selected sale is between $5.00...
Assume that the heights of men are normally distributed with a mean of 66.8 inches and...
Assume that the heights of men are normally distributed with a mean of 66.8 inches and a standard deviation of 6.7 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 67.8 inches.
Assume that the heights of men are normally distributed with a mean of 69.3 inches and...
Assume that the heights of men are normally distributed with a mean of 69.3 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 70.3 inches.