b. What is the distribution of æ? ¤ ~ N( c. What is the probability that one randomly selected person drinks between 13.5 and 15.5 ounces of coffee per day? f. Find the IQR for the average of 17 coffee drinkers. Q1 ounces = Q3 = ounces IQR: ounces

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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Parts b, c, and f 

**Problem Description:**

The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 17 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

**Questions:**

b. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N(\text{____}, \text{____})\)

c. What is the probability that one randomly selected person drinks between 13.5 and 15.5 ounces of coffee per day? \(\text{____}\)

f. Find the IQR for the average of 17 coffee drinkers.

- Q1 = \(\text{____}\) ounces
- Q3 = \(\text{____}\) ounces
- IQR: \(\text{____}\) ounces
Transcribed Image Text:**Problem Description:** The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 17 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. **Questions:** b. What is the distribution of \(\bar{x}\)? \(\bar{x} \sim N(\text{____}, \text{____})\) c. What is the probability that one randomly selected person drinks between 13.5 and 15.5 ounces of coffee per day? \(\text{____}\) f. Find the IQR for the average of 17 coffee drinkers. - Q1 = \(\text{____}\) ounces - Q3 = \(\text{____}\) ounces - IQR: \(\text{____}\) ounces
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