Assume that 8 people, including the husband and wife pair, apply for 4 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: A four-person is selected at random from a population of 14 men and 16 women. What is the…

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Q: What is the probability that the ball is red?

A: Let us define some events A : two white balls are drawn from box1. B : one white and one red ball…

Q: In a family with 7 ​children, excluding multiple​ births, what is the probability of having 4…

A: The objective of this question is to find the probability of a family with 7 children having 4 boys…

Q: In a class of 6 girls and 5 boys, what is the probability of having girls and boys seated…

A: The provided information is  6 Girls 5 Boys  The arrangement is Girls on first seat and girls on the…

Q: Danielle buys a bag of cookies that contains 8 chocolate chip cookies, 6 peanut butter cookies, 6…

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Q: What is the probability that team b wins the series ?

A: Given Data: P( A wins)=0.4 P( B wins)=0.6   Team A wins the first game

Q: uppose a jar contains 15 red marbles and 15 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles=15Number of blue marbles=15Total number of marbles=30

Q: A flower shop is about to close for the day when a customer walks in a hurry and asks for a bouquet…

A: Answer - The shop owner has  12   yellow roses and   13   red roses left after a busy day, Total =…

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

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Q: Find the probability that the coins will match if (a) two boys each toss a coin (b) three boys each…

A: A coin has 2 possible outcomes. Head(H) and tail(T)   a) When 2 boys each toss a coin then the…

Q: At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch…

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Q: A card is drawn at random from a deck of cards, find the probability of getting a Face Card (or Ace…

A: A card is drawn from a classical deck of cards. Thus, total possible outcomes=52 Define the events…

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

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Q: There are two bowls. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The…

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Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Out of 176 students surveyed at a sporting event, half were males and athletes. 120 students…

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Q: pitcher contains 3 red and 2 black marbles. You select two marbles without replacement. What is the…

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Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

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Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

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Q: What is the probability of having 3 boys given the oldest is a boy?

A: The theory of probability has its origin in the seventeenth century. The king of France who…

Q: 8. Suppose that a cargo container at the port containing 25 bales of cashmere yarns contains 5 bales…

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Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

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: If you toss 6 coins, what is the probability of all 6 coins matching?

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Q: What is the probability of having 4 boys given the oldest is a boy?

A: Solution

Q: Suppose you are going to form a committee of students and faculty. You have 6 total students and 16…

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Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: A couple has 2 children. What is the probability that both are girls if the older of the two is a…

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Q: The result of a mathematics course shows that 85% of the students who fail in tests also fail in the…

A: We have to find given probability..

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: There are 9 red eggs and 6 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: Number of red eggs, n(R)=9. Number of green eggs, n(G)=6. Total number of eggs, N=15. Randomly…

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: Suppose you are going to form a committee of students and faculty. You have 9 total students and 18…

A: Answer - Given, You have 9 student and 18 faculty                  You are going to form a committee…

Q: A couple goes on the bus together and spots 6 empty seats in a row.  As they go towards the seats,…

A: Total number of ways of seating order = 6!= 720

Q: A sculpted needs to make 3 wood sculptures to exhibit at an art gallery. There is a probability of…

A: Define : n=5; the number of pieces of wood curved.p=0.80k=0,1,2,3; the number of successes needed…

Q: the fales is a success. Fin the probability that sum 7 gets (i) twice (ii) never (iii) only once,

A: n=4

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.