Three of the Christmas lights on Theo's Christmas tree have burned out and need to be replaced. He has a box of 8 replacement bulbs, 3 of which are red, 1 is blue, and the rest are green. An experiment has three bulbs removed simultaneously and at random from Theo's box and the random variable X is defined to be the number of red bulbs among the three bulbs that were removed from the box. Find the expected value of X. None of the others are correct 3/2 9/8 1/2 1/4 3/8

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Three of the Christmas lights on Theo's Christmas tree have burned out and
need to be replaced. He has a box of 8 replacement bulbs, 3 of which are
red, 1 is blue, and the rest are green. An experiment has three bulbs
removed simultaneously and at random from Theo's box and the random
variable X is defined to be the number of red bulbs among the three bulbs
that were removed from the box. Find the expected value of X.
None of the others are correct
3/2
9/8
1/2
1/4
3/8
Transcribed Image Text:Three of the Christmas lights on Theo's Christmas tree have burned out and need to be replaced. He has a box of 8 replacement bulbs, 3 of which are red, 1 is blue, and the rest are green. An experiment has three bulbs removed simultaneously and at random from Theo's box and the random variable X is defined to be the number of red bulbs among the three bulbs that were removed from the box. Find the expected value of X. None of the others are correct 3/2 9/8 1/2 1/4 3/8
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