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)
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ISBN:9780134753119
Author:Sheldon Ross
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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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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?
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.
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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