1. A group of 10 (including Sara and Mike) people put their hats into a box, then the hats are distributed at random back to the people. Let A be the event Sara gets her hat back Let B be the event Mike gets his hat back What's the probability Sara or Mike get their hat back?

Q: From a group of 3 Indians. 4 Pakistanis and 5 Americans a sub-committee of four people is selected…

A: Given that group consist of 3 Indians, 4 Pakistanis and 5 Americans. A committee of four peoples is…

Q: 1. One ball is to be selected from a box containing red white, blue, yellow, and green balls. If the…

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Q: Suppose a drawer contains four red socks, five white socks, and three green socks. We draw one sock…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Suppose that three jars contain colored balls as described in the table below. Red White Blue Jar 1…

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Q: 2. The weather in a given area is observed for 5 days. If the occurrences of rain each day are…

A: Given,n=5p=0.4q=1-p=1-0.4=0.6X=no.of days have rain X~Binomial (n=5 , p=0.4)P(X=x)=cxn pxqn-x ;…

Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: Suppose a student is selected at random from 100 students where 30 are taking ME, 20 are taking EE,…

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Q: Dr. Lawrence has three boxes. Their contents are Box 1: 2 red balls and 4 white balls Box 2: 4 red…

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Q: (a) In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probability that…

A: Given that class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors. Total = 8+5+4+2 = 19

Q: Consider the vending machines on campus. There are three different types: snack dispensers, hot…

A: Let us denote:S=SnackH=hot drinkC=cold drinkA=servicing neededGiven that: P(S)=25%=0.25,…

Q: Suppose 55% of students are female, of which 4/5 (44%) have long hair, and 45% are male, of which…

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Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 6. A work crew for a building project is to be made up of 2 craftsmen and 4 laborers selected from a…

A: Given:- 2 craftsmen and 4 laborers selected from 5 craftsmen and 6 laborers.   a. how many different…

Q: Suppose a poll is taken to see which cell phone brands students have and it is found that 37% owned…

A: Formula : Binomial distribution is given by

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

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Q: (d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be…

A: As per your Requirement  I  have calculated  D part only

Q: Suppose box A contains 2 red balls and 3 blue balls and box B contains 6 red balls and 3 blue ball.…

A: Given information: The number of red balls in box A is nAR = 2. The number of blue balls in box A is…

Q: 1. Suppose your vehicle is licensed in a state that issues license plates that consist of three…

A: Number of digits (0 to 9) = 10 Number of letters (A to Z) = 26 Number of plates the person(you) can…

Q: A bag contains 88 white marbles, 33 red marbles, and 44 yellow marbles. If a marble is drawn from…

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Q: n a certain community, 25% of the families own a dog, and 20% of the families that own a dog also…

A: Given 25% of the families owns a dog 20% of the families that owns a dog also owns a cat 25% of all…

Q: It is known that a certain a college, 20% of the students go to college by car. (a) If 20 students…

A: As per given by the question, 20% of the student go to college by car. Now, (a). if 20 student from…

Q: Suppose a Box contains 200 identical machine parts. Out of which 100 are produced by machine A, 60…

A: Suppose a Box contains 200 identical machine parts. Out of which 100 are produced by machine A, 60…

Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

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Q: Suppose that 5 percent of men and 0.25 percent of women are colour-blind. A colourblind person is…

A: Given that 5% of men and 0.25% of women are colour-blind and there are an equal number of males and…

Q: 1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. (a) If two balls are…

A: There are total (4+3+2)=9 balls We can select any 2 balls from 9 balls in 9P2=72 ways   a) We can…

Q: A card is to be randomly drawn from a standard deck of 52 playing cards. If event A is drawing a red…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math’s test, four boys…

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Q: It is felt that the probabilities are 0.20, 0.40, 0.30, and 0.10 that the basketball teams of four…

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Q: 2 1. In a group o of 100 sports car buyers, 40 bought alarm system, 30 purchased bucket seats and 20…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: if a class has 2 freshmen, 1 shphomore, 3 juniors, and 5 seniors, what is the probability that three…

A: From the provided information, A class has 2 freshman, 1 sophomore, 3 juniors and 5 seniors. Total…

Q: 1)In the entire group of first-year statistics students, half own a calculator (h), and the rest…

A: The set number of possible outcomes of an experiment is called sample space. The favourable outcomes…

Q: A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one without…

A: (a). Find the probability that the first three flowers are red: The number of red rose flowers in…

Q: Suppose 30% of the women in a class received an A on the test and 25%of the men received an A. The…

A: Solution : Let X : Women       Y : Receiving A P(X)  = 0.60 P(Y/X) =0.30  P(Xc)  = 0.40 P(Y/Xc…

Q: If six different customers A,B,C,D, E and F arrive for service at random order what is the…

A: Given that  Total number of customers = 6   [ A B C D E F ] We know that  Probability = Number of…

Q: If 8 different customers A, B, C, D, E, F, G, and H arrive for service at random order, what is the…

A: Here Given total Number of customer=8

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: 4) Determine the probability that a sibship of 6 will comprise: (a) 4 boys and 2 girls. (b) boys as…

A: As per guidelines only first 3 subparts have been answered.

Q: giris opted What is the probability that a student opted for mathematics if half of the class is…

A: Given  20% of boys opted for mathematics and 40% of girls

Q: 1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a…

A: Hint: The addition rule for any two mutually exclusive events X and Y states that the probability…

Q: 5. Suppose box A contains 3 red balls and 2 blue balls and box B contains 4 red balls and 1 blue…

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Q: 1-Consider a box contains cards with your ID number and 5 another student's ID (i.e. each card will…

A: From the given information, Number of elements in the box = 10 numbers (0 to 9) + 26 letters (a to…

Q: Suppose your vehicle is licensed in a state that issues license plates that consist of 3 digits…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: Suppose a classroom has 10 males and 12 females and a committee of 3 is to be formed. Find the…

A: The given question is related with probability. Suppose that a classroom has 10 males and 12 females…

Q: contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles…

A:

Q: Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

A: Given that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

Q: (a) How many ways are there for a class of six kids to line up for recess? (b) The first child and…

A: Here use basic probability rule Here total 6 kids  And they are line up for recess

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given:  8 freshmen, 5 sophomores, 4 juniors, and 2 seniors Total = 8+5+4+2 = 19

Q: Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest…

A: Let F denote Freshmen, S denotes Sophomores, J denotes juniors and R denotes the Seniors.  P denotes…