The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.1 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.23 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.42 grams? c) What proportion of mice have a mass between 20.22 and 20.37 grams?
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.1 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.23 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.42 grams? c) What proportion of mice have a mass between 20.22 and 20.37 grams?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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Question
![**Normal Distribution of Mouse Mass**
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams and a standard deviation of 0.1 grams.
### Probability Calculations
For parts (a) through (c), enter your responses as a decimal with 4 decimal places.
**a)** What is the probability that a randomly chosen mouse has a mass of less than 20.23 grams?
```
[INPUT BOX]
```
**b)** What is the probability that a randomly chosen mouse has a mass of more than 20.42 grams?
```
[INPUT BOX]
```
**c)** What proportion of mice have a mass between 20.22 and 20.37 grams?
```
[INPUT BOX]
```](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3268b88a-f4fb-4fae-897e-35b47f1612ff%2Fe1e90786-68dc-4117-ab3b-812808ea578e%2Fzenahps_processed.png&w=3840&q=75)
Transcribed Image Text:**Normal Distribution of Mouse Mass**
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams and a standard deviation of 0.1 grams.
### Probability Calculations
For parts (a) through (c), enter your responses as a decimal with 4 decimal places.
**a)** What is the probability that a randomly chosen mouse has a mass of less than 20.23 grams?
```
[INPUT BOX]
```
**b)** What is the probability that a randomly chosen mouse has a mass of more than 20.42 grams?
```
[INPUT BOX]
```
**c)** What proportion of mice have a mass between 20.22 and 20.37 grams?
```
[INPUT BOX]
```
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