Give 2 examples of problems or situations in real life that involve permutations and combinations. Write your answer on the space provided. Answers: (Permutation Problem). Answer: (Combination Problem)

Q: Class 10R sat a test. The mean mark for the class was 70%. There are 30 students in class 10R, 20 of...

A: Given: Total student (n)=30Number of boys (nb)=20Mean (μ)=70%Mean for boys (μb)=62%

Q: : I really need help understanding how to find the MLE of the probability of each failure. Please wr...

A: *Answer: 

Q: (a) Calculate Tom's point estimate. (b) Given that the estimated standard er- ror of (p1 + p2)/2 is ...

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Q: Find the conditional PMF of Y , given X = x, for x 0, 1, ..., 20.

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Q: The bar representing which of the following probabilities on a histogram would be the highest? O A. ...

A: Here we have to identify which of the following Probabilities on histogram has the highest.

Q: Toss a fair coin once. Let X be the number of tails that occur. Find the probability mass function o...

A: It is given that X : number of tails in tossing a fair coin. Note : Since you have asked multiple qu...

Q: If A ⊂ B, then ((A - B)' ∩ B' )' = B

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Q: The histogram below gives the number of days that a group of homes was on the market last year befor...

A: Given that : A histogram is given firstly make a frequency distribution and find relative frequency ...

Q: 6. The Chevalier Problem (At least one generalized): (a) First problem: Find the probability of roll...

A: Introduction: Denote X as the number of rolls resulting in a 6 when a standard six-sided die is roll...

Q: In a large population, 19% of residents have been vaccinated. Suppose a random sample of 8 residents...

A: Given that n =8 ,p=0.19 Find the given probabilities

Q: A university is hosting a music festival and will sell tickets online. They know that all people who...

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Q: an elevator has a placard stating that the maximum capacity is 1336 lb—8 passengers. So, 8 adult mal...

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Q: In an examination 30% of the students have failed in Mathematics, 20% of the students have failed in...

A: Solution is given:

Q: Shirley and Ben are going souvenir hunting. They come across a store that sells all sorts of key-cha...

A: (i) The objective is to find the number of ways to assign 75 key chains in 6 bags. That is, 75 key c...

Q: (d) ABC is unable to adjust the mean of the filling process. However, it is able to adjust the stand...

A: We have given that.   X~N( μ , ?^2 )   μ=50 , ?=1.25   Z-score =( x - μ )/?

Q: Toss a fair coin twice. Let X denote the number of tails. Find the probability mass function of X.

A: We have given that the fair coin is tossed twice. The sample space S is, { HH, HT, TH, TT }

Q: Among 18 details manufactured by factory, 15 are standard. (A) If 4 details are chosen at random, wh...

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Q: service station has both self-service and full-service islands. On each island, there is a single re...

A: For the given data Find the problem ( a)

Q: The joint probability function of two discrete random variables X and Y is given by f(x,y)=(1/42) (2...

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Q: Let 0, X1, X2,... be RVs. Suppose that, condi- tional on e = 6, X1, X2,... are independent and Xx is...

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Q: Think of 12 face cards from the four suits (four kings, four queens, and four jacks). You draw one c...

A: We have given that 12 face cards from the four suits ( 4 kings, 4 queens, 4 jacks ). Total cards = 1...

Q: Assume that the events A and B are independent with P(A) = .30 and P(B) = 40. The probability that b...

A: We have given that,  P(A) = 0.30 and P(B) = 0.40 Then,  We will find the probability that  both even...

Q: Eagles always lay three eggs at a time. The number of eggs that hatch is described by the following ...

A: Let X be the random variable having probability mass function is  X 0 1 2 3 P(x)  0.1 0.3 0.4 0...

Q: a. Find the mean and variance of the probability distribution. b. Interpret the mean and the varianc...

A: here given discrete probability distribution of  X=number of android phones

Q: In the experiment of flipping a coin four times, what is the probability of obtaining odd number of...

A:  In the experiment of flipping a coin four times, what is the probability ofobtaining odd number of ...

Q: 4. Six people attend the theater together and sit in a row with exactly six seats. a. How many ways ...

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Q: The probability function for the number of seizures, X, of a typical epileptic person in any given y...

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Q: Question 2. Ten men and eight women are going to occupy a row of 20 seats. The men are seated from l...

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Q: 1. A set of letters consists of 9 consonants and 4 vowels. How many three-letter "words" are possibl...

A: Note: As per the Bartleby guidelines only 1 question can be answered. Kindly resubmit the questions ...

Q: Make a tree diagram to show all the possible sequences of answers for five multiple-choice questions...

A: A tree diagram is used to represent a probability space. Each node of the tree on the diagram repres...

Q: You draw two cards from a well-shuffled deck of 52 cards, forming a 2-card hand. 1. What is the prob...

A: It is known that Total cards in a deck = 52 Number of aces = 4

Q: A quality control engineer is in charge of testing whether or not 90% of the DVD players produced by...

A: Given n=12 P=0.2

Q: Customers arrive at a bank counter manned by a single cashier according to Poisson distribution with...

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Q: In the experiment of rolling two dice, what is the probability that the difference between the large...

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Q: Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random var...

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Q: A box contains a set of 15 billiard balls. Two balls are drawn together from the box. Compute the pr...

A: Total number of balls = 15 We have to select 2 and find that sum of number is odd      

Q: 84. (a) If for two events, A and B 1 P(B) and P(A/B) Then find P(B A). 4 (b) If P(A) = 0.4, P(A U B)...

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you. T...

Q: An average of 9 cars come to the car-washing facility per day. Assume that the number of cars is Poi...

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Q: a) In a particular high school, there are 10 Math teachers. The principal wants to form a committee ...

A: Note: Hi! Thank you for the question. As you have posted multiple independent questions, according t...

Q: In the experiment of flipping a coin four times, what is the probability of obtaining odd number of ...

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted b...

Q: that the numbers on them make up a certain four-digit number. Find the likelihood that when installi...

A: Here given, In secrete lock on common axis are four disks  Each disk have 5 sectors on which numbers...

Q: C. Shawn is targeting to win at least 100,000 pesos in the game. In the previous games, it was found...

A: Answer :-   Given that  Let the X be a the amount of money won by the contestants   X ~ N(μ , σ2 ) 1...

Q: Mrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls the ...

A: We have given that  Population mean =85 Population standard deviation =15 Sample size n =100   NOTE:...

Q: 43. Independent random samples are selected from two populations. Below are selected summary statist...

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Q: A bag with 8 marbles has 2 red marbles, 3 blue marbles, and 3 yellow marbles. A marble is chosen fro...

A: We have given that 8 marbles has 2 red marbles, 3 blue marbles and 3 yellow marbles.

Q: A box of jerseys for a pick-up game of basketball contains 10 extra-large jerseys, 7 large jerseys, ...

A: The number of favorable event divided by the total number of observation gives the probability of th...

Q: James and Harry play baseball and each of them can score one goal with the probabilities of 0.4 and ...

A: James and Harry play baseball and each of them can score one goal with the probabilitiesof 0.4 and 0...

Q: A group of 6 women and 9 men will form four-person committees. How many committees are possible if i...

A: There are 6 women and 9 men. Then possible ways that there must be 2 men: 9C2= 9!/2!*7!= 36 The poss...

Q: 7. A sociological study consists of recording the marital status, religion, race, and income of an i...

A: Given: A sociological study consists of recording the marital status, religion, race and income of a...

Q: A particular professor never dismisses class early. Let x denote the amount of time past the class e...

A: We have given that  Probability distribution function. f(x)= 1/(b - a) , a < x < b  Where a= 0...