2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly without replacement. What is the probability that exactly 4 red cards are drawn?
2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly without replacement. What is the probability that exactly 4 red cards are drawn?
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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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.
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Question
![1. In testing a florescent light bulb, it is found that 20% of the light bulb fail to
complete the test run. For the next 7 light bulbs tested, find the probability 3 light
bulbs fail. What are E[x] and V(X)?
2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn
randomly without replacement. What is the probability that exactly 4 red cards are
drawn?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c2958c2-088a-4c9f-b425-667be7458fd5%2F3b17889d-4691-4e65-a32f-d5cfe5c73885%2F92vnee7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. In testing a florescent light bulb, it is found that 20% of the light bulb fail to
complete the test run. For the next 7 light bulbs tested, find the probability 3 light
bulbs fail. What are E[x] and V(X)?
2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn
randomly without replacement. What is the probability that exactly 4 red cards are
drawn?
![3. If electricity power failures occur according to a Poisson distribution with an average
of 2 failures over a 4 weeks, what is the probability that there will be 4 failure during
a particular week. What is E[x] are V(X)?
4. Assume the reaction time of a teenage driver are normally distributed with a mean of
0.53 seconds and a standard deviation of 0.11 seconds. What is the probability that a
teenage driver chosen at random will have a reaction time between 0.4 and 0.6
seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c2958c2-088a-4c9f-b425-667be7458fd5%2F3b17889d-4691-4e65-a32f-d5cfe5c73885%2Fga2xmcb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. If electricity power failures occur according to a Poisson distribution with an average
of 2 failures over a 4 weeks, what is the probability that there will be 4 failure during
a particular week. What is E[x] are V(X)?
4. Assume the reaction time of a teenage driver are normally distributed with a mean of
0.53 seconds and a standard deviation of 0.11 seconds. What is the probability that a
teenage driver chosen at random will have a reaction time between 0.4 and 0.6
seconds.
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