The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3grams with a standard deviation of 0.2 grams.a) What is the probability that a randomly chosen mouse has a mass of less than 20.16 grams?b) What is the probability that a randomly chosen mouse has a mass of more than 20.51 grams?c) What proportion of mice have a mass between 20.14 and 20.39 grams?

Mean()=20.3Standard deviation()=0.2

Answered: The mass of a species of mouse commonly…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. The braking distance for a Krazy-Car traveling at 50 mph is normally distributed with a mean of 50 ft. and a standard deviation of 5 ft. Answer the following without using a calculator or a table. • What is the likelihood a Krazy-Car will take more than 65 ft. to stop? • What is the probability a Krazy-Car will stop between 45 ft. and 55 ft.? • What percent of the time will a Krazy-Car traveling at 50 mph stop between 35 and 55 ft.? • What is the probability a Krazy-Car will require less than 50 ft. or more than 60 ft. to stop?
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A mean undergraduate cost for tuition , fees , room , and board for four-year institutions was 26,489 for a recent academic year. Suppose that the population standard deviation equals 3, 204 and 36 four year institutions are randomly selected .find the probability that the sample mean cost for these 36 schools is between 24,000 and 26, 000.find the corresponding area for the z values.
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The height of all 3-year-old females is approximately normal with a mean of 38.72 inches and a standard deviation of 3.17 inches. What is the probability that in a sample of ten 3-year-old females, the mean height is greater than 40 inches? A) 0.3432 B) 0.8992 C) 0.2422 D) 0.5066 E) 0.1008
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.
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III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.

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