The amount of time to complete a physical activity in a PE class is normally distributed with a mean of 39.1 seconds and a standard deviation of 5.2 seconds. Round answers to 4 decimal places. a) What is the probability that a randomly chosen student completes the activity in less than 32.7 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 45.4 seconds? c) What proportion of students take between 36.8 and 41.8 seconds to complete the activity? d) 90% of all students finish the activity in less than seconds.

The amount of time to complete a physical activity in a PE class is normally distributed with a mean of 39.1 seconds and a standard deviation of 5.2 seconds. Round answers to 4 decimal places. a) What is the probability that a randomly chosen student completes the activity in less than 32.7 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 45.4 seconds? c) What proportion of students take between 36.8 and 41.8 seconds to complete the activity? d) 90% of all students finish the activity in less than seconds.

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 13PPS

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Question

The amount of time to complete a physical activity in a PE class is normally distributed with a mean of 39.1 seconds and a standard deviation of 5.2 seconds. Round answers to 4 decimal places.

a) What is the probability that a randomly chosen student completes the activity in less than 32.7 seconds?

b) What is the probability that a randomly chosen student completes the activity in more than 45.4 seconds?

c) What proportion of students take between 36.8 and 41.8 seconds to complete the activity?

d) 90% of all students finish the activity in less than seconds.

The amount of time to complete a physical activity in a PE class is normally distributed with a mean of 39.1
seconds and a standard deviation of 5.2 seconds. Round answers to 4 decimal places.
a) What is the probability that a randomly chosen student completes the activity in less than 32.7 seconds?
b) What is the probability that a randomly chosen student completes the activity in more than 45.4
seconds?
c) What proportion of students take between 36.8 and 41.8 seconds to complete the activity?
d) 90% of all students finish the activity in less than
seconds.

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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