Answered: 1. 78% of all students at a college…

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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Question

1. 78% of all students at a college still need to take another math class. If 40 students are randomly selected, find the probability that

a. Exactly 30 of them need to take another math class.

b. At most 32 of them need to take another math class.

c. At least 31 of them need to take another math class.

d. Between 30 and 36 (including 30 and 36) of them need to take another math class.

2. z = 2 is what percentile?

percentile

3. Adult female height is normally distributed with a mean of 64.8 inches and a standard deviation of 2.35 inches. If an adult female is randomly selected, what is the probability that the adult female has a height less than 63.1 inches? Round your final answer to four decimal places.

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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