X123. A physics professor wants to know what percent of physics majors will spendthe next several years doing post-graduate research. He has the followingprobability distribution.3456P(x)0.350.200.150.100.05x*P(xa. Define the random variable x.b. Define P(x), or the probability of x.c. Find the probability that a physics major will do post-graduate research for fouryears. P(x = 4) =_d. Find the probability that a physics major will do post-graduate research for atmost three years. P(x ≤ 3) =_e. On average, how many years would you expect a physics major to spend doingpost-graduate research?

The probability distribution is given as follows: 10.3520.2030.154-50.1060.05

Answered: X 1 2 3. A physics professor wants to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?
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A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?

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