Contest You play two games against the same opponent.The probability you win the first game is 0.4. If you winthe first game, the probability you also win the secondis 0.2. If you lose the first game, the probability that youwin the second is 0.3.a) Are the two games independent? Explain.b) What’s the probability you lose both games?c) What’s the probability you win both games?d) Let random variable X be the number of games youwin. Find the probability model for X.e) What are the expected value and standard deviation?
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.
Contest You play two games against the same opponent.
The probability you win the first game is 0.4. If you win
the first game, the probability you also win the second
is 0.2. If you lose the first game, the probability that you
win the second is 0.3.
a) Are the two games independent? Explain.
b) What’s the probability you lose both games?
c) What’s the probability you win both games?
d) Let random variable X be the number of games you
win. Find the probability model for X.
e) What are the
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