Answered: A hamburger chain found that 75% of all…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 65E

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Question 6A

A hamburger chain found that 75% of all customers use mustard, 80% use ketchup, and 65% use both, when ordering a hamburger. What is the probability that a customer chosen a random uses mustard given that the person is a ketchup-user?

a.0.5200

b.0.9000

c.0.8125

d.0.8667

Question 6B

A manufacturer of cutting and welding products makes an acetylene gas cylinder used in welding. The amount of nitrogen gas in the cylinder is normally distributed with mean 124 m³ and a standard deviation of 12 m³ … X~N(124, 12²)

P(X > 110) is ?

a.0.1210

b.- 1.17

c.0.8790

d.0.3790

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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