The activity involves calculating probabilities and proportions based on a normal distribution of completion times for a physical activity in a PE class. The distribution has a mean of 37.3 seconds and a standard deviation of 5.5 seconds. Answers should be rounded to four decimal places.### Questions:a) What is the probability that a randomly chosen student completes the activity in less than 32.1 seconds?- [Answer box provided]b) What is the probability that a randomly chosen student completes the activity in more than 43.5 seconds?- [Answer box provided]c) What proportion of students take between 33.7 and 40 seconds to complete the activity?- [Answer box provided]d) 85% of all students finish the activity in less than how many seconds?- [Answer box provided]At the bottom, there is a "Submit Question" button. (Note: There are no graphs or diagrams included in the image.)

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The amount of time to complete a physical activity in a PE class is normally distributed with a mean of 37.3 seconds and a standard deviation of 5.5 seconds. Round answers to 4 decimal places. a) What is the probability that a randomly chosen student completes the activity in less than 32.1 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 43.5 seconds? c) What proportion of students take between 33.7 and 40 seconds to complete the activity? d) 85% 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 37.3 seconds and a standard deviation of 5.5 seconds. Round answers to 4 decimal places. a) What is the probability that a randomly chosen student completes the activity in less than 32.1 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 43.5 seconds? c) What proportion of students take between 33.7 and 40 seconds to complete the activity? d) 85% of all students finish the activity in less than seconds.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The activity involves calculating probabilities and proportions based on a normal distribution of completion times for a physical activity in a PE class. The distribution has a mean of 37.3 seconds and a standard deviation of 5.5 seconds. Answers should be rounded to four decimal places.

### Questions:

a) What is the probability that a randomly chosen student completes the activity in less than 32.1 seconds?
- [Answer box provided]

b) What is the probability that a randomly chosen student completes the activity in more than 43.5 seconds?
- [Answer box provided]

c) What proportion of students take between 33.7 and 40 seconds to complete the activity?
- [Answer box provided]

d) 85% of all students finish the activity in less than how many seconds?
- [Answer box provided]

At the bottom, there is a "Submit Question" button.

(Note: There are no graphs or diagrams included in the image.)

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