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b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg.

b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg.

A First Course in Probability (10th Edition)
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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I need the solution for B please?

### Understanding Weight Gain Among Male College Freshmen This section analyzes the weight gain of male college students during their freshman year, assuming the data follows a normal distribution. Here are some key insights based on the statistics provided: #### Statistical Overview: - **Mean (μ):** 1.4 kg - **Standard Deviation (σ):** 5.1 kg #### Probability Calculations: **a. Single Student Weight Gain Probability** - **Scenario:** For one randomly selected male student, calculate the probability that he gains between 0 kg and 3 kg in his freshman year. - **Result:** The probability is **0.2313**. (The calculation is rounded to four decimal places for precision.) **b. Group Average Weight Gain Probability** - **Scenario:** For a group of 9 randomly selected male students, determine the probability that their average weight gain is between 0 kg and 3 kg during their freshman year. Complete these calculations using appropriate statistical methods to understand trends in weight gain among male college freshmen better.
Transcribed Image Text:### Understanding Weight Gain Among Male College Freshmen This section analyzes the weight gain of male college students during their freshman year, assuming the data follows a normal distribution. Here are some key insights based on the statistics provided: #### Statistical Overview: - **Mean (μ):** 1.4 kg - **Standard Deviation (σ):** 5.1 kg #### Probability Calculations: **a. Single Student Weight Gain Probability** - **Scenario:** For one randomly selected male student, calculate the probability that he gains between 0 kg and 3 kg in his freshman year. - **Result:** The probability is **0.2313**. (The calculation is rounded to four decimal places for precision.) **b. Group Average Weight Gain Probability** - **Scenario:** For a group of 9 randomly selected male students, determine the probability that their average weight gain is between 0 kg and 3 kg during their freshman year. Complete these calculations using appropriate statistical methods to understand trends in weight gain among male college freshmen better.
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