A contest contains two multiple choice questions. Question 1 has 4 possible answer choices with only one correct and question 2 has 5 possible choices with only one correct. Assume that questions one and two are independent of each other and that a correctly answered question receives a score of 1, else a zero (that means the best score foran individual is a 2). To win a prize, two people must enter the contest and their total score will determine their winnings. Now, two friends, call them Pete and Susan, take the contest questions and answer them independently. Let X be the total number of points awarded to them.(a) What is the probability mass function (pmf) of X?(b) What is the expected value of X?(c) What is the probability that X is no more than 2?

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Q: Professor Gill has taught General Psychology for many years. During the semester, she gives three…

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Q: exactly one of the three colleges. Based on a survey, 25% of the students attend College A, 35% of…

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Q: At roulette, there are 38 slots. A "column" consists of 12 of these slots. A column pays 2 to 1. So,…

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Q: On a multiple-choice quiz, a correct answer is awarded 4 points, but an incorrect answer costs the…

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A: (A) The 90% CI for slope can be constructed using the formula:

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Q: rofessor Gill has taught General Psychology for many years. During the semester, she gives three…

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Q: An exam consist of 30 multiple-choice questions in each is worth one point. 15 of these questions…

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Q: On a multiple-choice quiz of 25 questions, a correct answer is awarded 4 points and an incorrect…

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Q: Suppose 40 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft…

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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.