5. After a set of three cards numbered 1, 2, and 3 are shuffled, one card is randomly chosen. If the chosen card's number is n (where n E {1, 2, 3}), then a fair coin is tossed n times. What is the probability of observing exactly 2 heads?

Q: Ten cards numbered 1 to 10 are placed in a box,mixed up thoroughly and then one card is drawn…

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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: particular industry has 720 employees. When the employees were asked what position they occupy, 27…

A: Given data,Total no of employees n=720manager=27technician=102director=9engineer=35Line…

Q: 2 How many 7-digit numbers can be formed from the digits 1, 1, 2, 2, 4, 4 and 5 if repetition is not…

A: 2 a. The total number of ways 7-digit number can be formed from the digits 1, 1, 2, 2, 4, 4, and 5…

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

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Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: GIVEN DATA : There are 15 boys and 30 girls in the class                          10 students are…

Q: You draw two cards from this deck, one after the other, without replacement. What is the probability…

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Q: Suppose 10% of Americans are left-handed and we are to randomly select 20 Americans from the…

A: Let us denote X be the number of left handed Americans follows Binomial distribution with n=20 and…

Q: Suppose that a finite class contains 40% freshmen,10% sophomores, 10% juniors, and the rest seniors.…

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Q: A deck of cards contains 10 red cards numbered 1 to 10 and 10 black cards numbered 1 to 10. How many…

A: Total number of ways to arrange 20 cards in a row = 20! Total number of ways to arrange red and…

Q: (a) How many integers are there from 1,000 through 9,999?   (b) How many odd integers are there…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 1) A beg contains 10 black pens. If a pen is chosen at random from the beg, what is the probability…

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Q: 4. The class is randomly divided between three instructors, with 6 people going to each instructor.…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: What is the probability of finding exactly 5 green M&Ms in any one given bag?

A: Given: n= 40 P( green) = 0.15

Q: 8. The table at the right shows the number of credit Gender/# of Cards Zero 2 or more Total cards…

A: Total numbers  of females  having 2 or more credit cards are 20. Total number of persons are 82.…

Q: What is the probability of drawing a blue card first, then a red card?

A: Given that Total number of cards = 15 Number of green cards = 5 Number of blue cards = 5 Number of…

Q: How many different ordered sequences of 3 digits can be arranged out of the number digits? b.How…

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Q: Suppose that a finite class contains 60%60% freshmen, 20%20% sophomores, 10%10% juniors, and the…

A: Given information Class contains 60% freshmen 20 % sophomore 10% juniors 10% seniors 20% freshmen…

Q: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15%…

A: Let us denote Y= event of picking a yellow M&M.  The probability of picking a yellow M&M is…

Q: 7. Suppose 12% of graduates of the Architectural Engineering Technology program take a job outside…

A: This is a Simple Binomial Probability distribution with n=2 and p=0.12

Q: From a standard deck of 52 playing cards, two cards are drawn in succession and at random without…

A: There are 52 cards in a standard deck. The number of ways 2 cards can be selected without…

Q: What is the probability of each possible sample if(a) a random sample of size n = 4 is to be drawn…

A: a). Given that n=4 and N=12. The number of possible samples of size 4 from the population with size…

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: 1. (a) Suppose that 10 cookies are distributed among 5 distinct children, what is the probability…

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Q: Suppose that a finite class contains 40% freshmen, 10% sophomores, 10% juniors, and the rest…

A: From the given information, The total number of students = 400 Total  number of Freshmen = 160 Total…

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: Compute the following. 1. How many outfits consisting of a pair of pants, a shirt, and a tie are…

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPARTS PLZ REPOST FOR REMAINING  HERE USE COMBINATION

Q: (d) How many distinct committees of sizes 2, 3, 4 and 4 can be formed from a collection of 13 people…

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Q: Create the venn diagram of the a,b,c  In a class of 267 seniors, 94 study Spanish, 95 study…

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Q: . If boys and girls are equally likely to be born, what is the probability that in a randomly…

A: From the given information we want to find the probability for given event .

Q: 5. If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that a.…

A: 5   (a) Obtain the probability that the exactly 2 of them will be face cards. The probability that…

Q: 2.7 From past experience, it is known that, on the average, 10% of welds performed by a particular…

A: Given that n = 3,p=0.10

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: ou have a Jar with 100 M​ & M's. 24 of them are​ Blue, 13 are​ Brown, 16 are​ Green, 20 are​ Orange,…

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Q: umbers from 1 through FFFF have at least one repeated digit? 2. What is the probability tha

A: From given: The hexadecimal has 16 digits.

Q: in the entire group of first-year statistics students, half own a calculator (h), and the rest don’t…

A: The number of students chosen randomly from the group is 2.

Q: How large a group is needed to give a 0.5 chance of at least two people having the same birthday?

A: Given Data: The probability of at least two people of the group having same birthday is: P(B)=0.5…

Q: 1. Obtain the probability of adding up six points if we toss three distinct dice.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: A certain lottery consists of selecting six different numbered balls from numbered 1 to 12 white…

A: In a lottery competition, we are given 12 white balls which are numbered from 1 to 12 and 11 gold…

Q: At a certain company, passwords must be from 3–5 symbols long and composed from the 26 uppercase…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 4. Ten books, consisting of 5 mathematics books, 3 physics books, and 2 chemistry books, are…

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Q: Three balls are randomly selected without replacement from an urn containing 20 balls numbered 1…

A: Here, three balls are to be randomly selected without replacement and at least one of the drawn ball…

Q: 4, 5 balls in a box, three are red, and two are white. If two balls are drawn together from the box,…

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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: In a class of 267 seniors, 94 study Spanish, 95 study Chemistry, 165 study Mathematics, 18 study…

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Q: If 5 cards are drawn from a standard deck of 52 playing cards, then the probability of getting at…

A: Given: Number of cards in a deck is, N=52. Number of cards drawn at random is, n=5. The objective…

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

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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