Assume that 9 people, including the husband and wife pair, apply for 2 sales positions. People are hired at random. (1) What is the probability that both the husband and wife are hired?  (2) What is the probability that one is hired and one is not?

Q: Assume that 8 people, including the husband and wife pair, apply for 4 sales positions. People are…

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Q: you have 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange jelly beans (a) if you…

A: There are 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green , 5 red and 6 orange jelly beans. First…

Q: A cast for Hamlet still need to fill 6 rolls. Two of the roles are reserved reserved for women and…

A: (a). Find the probability that a cast contains exactly 3 women: It is given that, a cast for Hamlet…

Q: A bucket contains 10 tennis balls, 7 baseball and 9 golf ball. Suppose you pick 5 balls at random.…

A: Let us denote X=number of golf balls We have to find P(X≤2)=P(X=0)+P(X=1)+P(X=2)   X=0: we can pick…

Q: Three students are selected randomly from a group of 3 males and 7 females. Find the  probability…

A: Introduction: A group consists of 3 males and 7 females, that is, 3 + 7 = 10 students.

Q: In a family with 3 children, excluding multiple births, what is the probability of having exactly 2…

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Q: Assume that 10 people, including the husband and wife pair, apply for 5 sales positions. People are…

A: According to the given information, There are total 10 people and 5 sales positions. For part (1) It…

Q: Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are…

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Q: Max accidently mixed 56 turnip seeds with 78 cabbage seeds. Since the two seeds look nearly…

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Q: (1) What is the probability that the second apple you pick is red?   (2) What is the probability…

A: (1) A bag has 10 apples in which 6 are red and 4 are yellow. considering the selection is done by…

Q: There are 10 lightbulbs and 2 of them are defective. You test the lightbulbs one by one until you…

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Q: A couple decided to have 3 children. (a) What is the probability that they will have at least one…

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Q: If 2 random students were selected (with replacement), what is the probability that both have the…

A: The total number of students is 476. The number of students who plans for job, travel, and volunteer…

Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: Assume that 6 people, including the husband and wife pair, apply for 2 sales positions. People are…

A: Given that , 6 people, including the husband and wife pair, apply for 2 sales positions. People are…

Q: A classroom contains 10 girls and 8 boys. You need to randomly select some of the students for…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A couple decided to have 4 children. (a)  What is the probability that they will have at least two…

A: Couple has decided to have 4 children. Probability of a child being boy = Probability of a child…

Q: Among the products of the first company, defective is 10%, the second 20%, the third  25%. We bought…

A: The probability that an event occurs, is equal to ratio of number of favourable outcomes for the…

Q: What is the probability that you draw 4 green marbles in a row if you do replace the marbles after…

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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.