A fair coin is flipped seven times. What is the probability that heads occurs exactly 6 times if it is known that heads occurs at least four times? Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 7% of the time and the second machine 9% of the time. (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine? (b) What is the probability that a defective part is produced at this factory? A door-to-door salesman expects to make a sale 22% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next customer is 0.48. If he makes no sale, the probability for a sale to the next customer stays at 0.22. What is the probability that he will make at least two sales with his first three visits?

A fair coin is flipped seven times. What is the probability that heads occurs exactly 6 times if it is known that heads occurs at least four times? Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 7% of the time and the second machine 9% of the time. (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine? (b) What is the probability that a defective part is produced at this factory? A door-to-door salesman expects to make a sale 22% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next customer is 0.48. If he makes no sale, the probability for a sale to the next customer stays at 0.22. What is the probability that he will make at least two sales with his first three visits?

Name: A fair coin is flipped seven times. What is the probability that head
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Description: A fair coin is flipped seven times. What is the probability that heads occurs exactly 6 times ifit is known that heads occurs at least four times?Two machines turn out all the products in a factory, with the first machine producing 35%of the product

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

A fair coin is flipped seven times. What is the probability that heads occurs exactly 6 times if
it is known that heads occurs at least four times?
Two machines turn out all the products in a factory, with the first machine producing 35%
of the product and the second 65%. The first machine produces defective products 7% of
the time and the second machine 9% of the time.
(a) What is the probability that a defective part is produced at this factory given
that it was made on the first machine?
(b) What is the probability that a defective part is produced at this factory?
A door-to-door salesman expects to make a sale 22% of the time when starting the day.
But making a sale increases his enthusiasm so much that the probability of a sale to the
next customer is 0.48. If he makes no sale, the probability for a sale to the next customer
stays at 0.22. What is the probability that he will make at least two sales with his first three
visits?

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