EXERCISE 30 A couple is planning on having three children. Assuming that each child is equally likely to be of either sex and that the sexes of the children are independent, find the probability that all three children will be girls.

Q: Evaluate the permutation. P(n,0) P(n,0) = (Simplify your answer.)

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Q: Suppoce a couple has four children. Assume that each child is equaly kely to be a boy or a girl,…

A: Given data: Probability distribution of number of girls: Number of girls 0 1 2 3 4 Probability…

Q: A class consists of 13 boys and 10 girls. They want to elect officers so that the president and…

A: Number of boys = 13 Number of girls = 10 Rules: President and Secretary are girls,  Vice president…

Q: ηθ 2 € (n3)

A: We recall the big O notation and then solve the problem.

Q: Example There are 3 red balls and 4 blue balls in a box. Two draws are taken from the box with…

A: Number of red balls = 3Number of blue balls = 4Total balls = 3+4 = 7

Q: Use mathematical induction to 3n(n+1) 3+6+9+12+...+3n=

A: Given problem Given that   3+6+9+12+....+3n = 3n(n+1) / 2 We have to prove it by mathematical…

Q: Proof by contradiction. There is no largest composite number

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Q: Evaluate the factorial expression. 11! (11-3)! 11! (11-3)!

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Q: det(K) and inv(K) and det(K)*inv(K).

A: Given that K3-1 =14321242123then  K3…

Q: you are playing a game, when P(win)=1/6,P(loss)=5/6, (a)if you decided to play the game untill you…

A: Given:  when P(win)=1/6, P(loss)=5/6,

Q: what is the contrapositive A=B, then A+C=B+C low

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Q: how do i find p(AorB) when the question is P(A and B)= 0.4, P(A)=0.7, and P(B)=0.6 how do i find…

A: From the given information, P(A and B)=0.4, P(A)=0.7 and P(B)=0.6

Q: A binomial has two terms. O True O False

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Q: QFamily An-2Eaharefresents a Samily of overcla Pfing Peiriods True of False

A: If all the subsets of a family have nonempty intersections, then it is called family of overlapping…

Q: class consists of 15 boys and 12 girls. They want to elect officers so that the president and…

A: To determine the number of ways two girls one as president and another as secretary, and two boys…

Q: Question * A child psychologist is interested in the number of times, x. a newborn baby's crying…

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Q: Warm-up Practice А. Evaluate each expression. 1. 5! 2. 10! 3. 13! 4. 5!3! 12! 5. 6! 6. 5(4!) 10! 7.…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: drawling one card from a standard deck of cards and get either a 10 or a red card

A: Given data: The total numbers of cards are n=52. The numbers of red cards are r=26. The number of 10…

Q: The follewing tae shows the mahemas aliny wd abat reasening aaay ef 10 stadents Student Mathwmatics…

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Q: Blouses and Skirts A woman has 5 blouses and 8 skirts. Howmany different outfits can she wear?

A: There are several ways of counting outcomes in a given problem. For example, number of ways to…

Q: Find the number of ways 4 apples and 3 oranges can be lined up in a row if an apple (an orange)…

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Q: Teammates Four couples at a dinner party play a boardgame after the meal. They decide to play as…

A: Let's call the four couples A, B, C, and D, and label the individuals in each couple with letters…

Q: Set Theory and Combinatorics How many ways are there to order the 26 letters of the alphabet so that…

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Q: A group of n people went to a theater, and each of them left his coat and his suitcase in the…

A: (a) In how many ways could the attendant return the coats and suitcases if nobody got their own coat…

Q: # Q.1 write an R script to receive 5 numeric input from keyboard vl<-

A: It is been asked to provide R code to receive 5 numeric input.

Q: ertain game involves tossing 3 fair coins, and it pays 11e for 3 heads, 7¢ for 2 heads, and 5¢ for 1…

A: We can get 3 heads in 3C3=1 way 2 heads in 3C2=3 ways 1 head in 3C1=3 ways 0 head in 3C0=1 way Total…

Q: АВС + АВС + АВС + АВС%3 5. Simplify the Boolean sum of products using the Karnaugh map below: nobile…

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Q: Selecting a Jury How many ways can a jury of 6 women and 5 men be selected form 10 women and 11 men?…

A: select jury of 6 women and 5 men from available 10 women and 11 men.  Numbers of ways to select a…

Q: The HR department is trying to fill a vacant position for a job with a small talent pool. Valid…

A: Data are given, From the given data calculate expected error cost, Expected error cost of hiring a…

Q: Travel insurance reimburses travelers for the cost of their trips if the trips are canceled for a…

A: Cost of Policy =  ​$600 chance a trip will be​ canceled , p = 2% OR 0.02

Q: A multiple-choice quiz contains 5 questions. There are three possible answers to each question. (a)…

A: See the attachment

Q: Counting A card game requires that 4 cards are drawn from a 52 card deck where 4 cards are drawn.…

A: Given that, A card game requires that 4 cards are drawn from a 52 card deck where 4 cards are drawn.…

Q: The foiowing queationa refer to a standard deck of 52 cards There are d ut hearts diamonde, clubs…

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Q: there are 200 students in the class  75 student get a grade in the class  find out the probabiity…

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