Answer the problem involving permutations with restrictions. Show your solution. 1. In how many ways can 3 boys and 2 girls be seated in a row for picture taking if the boys would like to sit together? 2. There are 4 different Statistics books and 5 different Probability books. In how ways can the books be arranged on a shelf if a. there are no restrictions? b. books of the same subject must be placed together? c. they must be placed alternately?

Q: 1. A bag contains 3 blue, 8 red, 2 white and 7 green marbles. Randomly choosing a marble, what is…

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Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: According to the given information, we haveA survey of American women who were asked to name their…

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A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: A couple has three children. Probability of having a girl or a boy is 0.5

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: p61. A problem in statistics is given to two students, A and B. The odds in favour of A solving the…

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Q: There are eight female board members and twenty-two male board members. a. How many ways are there…

A: Given : No. of female board members (F) = 8 No. of male board members (M) = 22 Total board members…

Q: There are thirteen female board members and seventeen male board members. How many ways are there…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: I need help with providing the formula and answer... Question: If your stats class contains 10…

A: 10 business majors 6 - biology majors 4 - math majors ________________________ 20 - total students…

Q: Sara draws the 10 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given: Sara draws the 10 of hearts from a standard deck of 52 cards. Without replacing the first…

Q: 1. Amir is taking a math test. There are 10 questions to do. test scores according to the number of…

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Q: 5. A multiple-choice quiz consists of 20 questions, each with 4 possible answers. Find the mean for…

A: A multiple choice quiz consists of 20 questions each with 4 possible answers. => P(correct…

Q: 4. You roll a 6-sided number cube. Use the complement to determine the probability of not rolling a…

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Q: If you roll two six-faced dice together, you will get 36 possible outcomes. Answer the following…

A: If two dice are rolled than the possible out comesare 36.

Q: A bag of M&M's has 7 red, 6 green, 8 blue, and 2 yellow M&M's. What is the probability of randomly…

A: A given experiment in which a bag of M&M's contains 7 Red,6 green, 8 blue,2 yellow balls. Now to…

Q: 6. Damon randomly selects one card from a 52-card deck. Find the probability (to 4 decimal places)…

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A: Formula : Binomial distribution is given by

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A: Two dice are rolled

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A: If we shuffle the deck of cards.  We have to find the following probabilities

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Q: a. What is the probability this student passes the exam? b. Use R to compute the exact value of the…

A: 5. Let X be the number of question correct which follows binomial distribution with sample size 20…

Q: In how many ways can the letters of the word PROBABILITY be arranged? A. 19, 958,400 B. 9, 979, 200…

A: The objective is to identify the number of ways the defined word, i.e., PROBABILITY can be arranged.

Q: In an experiment, a fair six-sided number cube, numbered 1 through 6, was rolled 2 times to…

A: From the sample space number of desired outcomes are (2,5) (2,6) (4,5) (4,6) (6,5) (6,6). Therefore…

Q: 3. If you draw 5 cards from a deck of 52 at random, what is the probability of getting 5 different…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 1. Determine if spinning an even number (2, 4, 6, 8, and 10) and spinning a green number (9 and 10)…

A: Given events An even number Green number

Q: There are ten female board members and twenty male board members. How many ways are there to make a…

A: Ways to make a committee of ten board members =  30C10=30!20!×10!=30045015

Q: Suppose a basketball player is a 73% free-throw shooter and he attempts 10 free throws. a. What is…

A: From the provided information, A basketball player is a 73% free-throw shooter that is p = 0.73…

Q: A coin is tossed and a die is rolled. a. List the outcomes in the sample space. b. Find the…

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Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 brown balls, 6 yellow…

A: The following information has been given: The number of brown balls=8 The number of yellow balls=6…

Q: 5. A multiple-choice test contains 25 questions, each with four answers. Assume a student just…

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