The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.9 grams with a standard deviation of 0.15 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 19.78 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 19.99 grams? c) What proportion of mice have a mass between 19.78 and 20 grams? d) 15% of all mice have a mass of less than grams. The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.9grams with a standard deviation of 0.15 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 19.78 grams?b) What is the probability that a randomly chosen mouse has a mass of more than 19.99 grams?c) What proportion of mice have a mass between 19.78 and 20 grams?d) 15% of all mice have a mass of less thangrams.

Given that. X~N( μ , ?) μ=19.9 , ?=0.15 Z-score =( x - μ )/? NOTE:- According to bartleby…

of 0.15 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 19.78 grams? b) What is the probability that a randomly chosen

of 0.15 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 19.78 grams? b) What is the probability that a randomly chosen

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 14PPS

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Question

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.9 grams with a standard deviation of 0.15 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 19.78 grams?

b) What is the probability that a randomly chosen mouse has a mass of more than 19.99 grams?

c) What proportion of mice have a mass between 19.78 and 20 grams?

d) 15% of all mice have a mass of less than grams.

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.9
grams with a standard deviation of 0.15 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 19.78 grams?
b) What is the probability that a randomly chosen mouse has a mass of more than 19.99 grams?
c) What proportion of mice have a mass between 19.78 and 20 grams?
d) 15% of all mice have a mass of less than
grams.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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