1) Suppose a box contains 3 defective light bulbs and 12 good bulbs. Two bulbs are chosen from the box without replacement. What is the probability that one of two bulbs drawn is defective and one is not?

Q: Urn A has 5 white balls and 7 black balls. Urn B has 3 white balls and 12 black balls. A fair coin…

A: 10) Given that the urn A has 5 white balls and 7 black balls. Urn B has 3 white balls and 12 black…

Q: 4. There are 6 black pens and 8 blue pens in a jar. If you take a pen without looking and then take…

A: Given: There are 6 black pens and 8 blue pens

Q: Suppose a 5 card hand is drawn from a standard deck of cards. What is the probability that there are…

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

Q: 1) A committee must be formed consisting of 12 people. If there are 10 democrats, 15 republicans and…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A group of students consisting of 20 males and 20 females was selected to participate in a research…

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Q: 2. A box contains 4 red and 5 green balls. Two balls are selected at random and discarded without…

A: Number of red balls: 4 Number of green balls: 5 Let GG, RG and RR be the events that the discarded…

Q: Box I contains 4 red chips and 2 white chip. Box II contains 3 red chips and 3 white chips. One chip…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: A bag of 33 tulip bulbs contains 12 red tulip bulbs, 12 yellow tulip bulbs, and 9 purple bulbs.…

A:

Q: 4. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Given,No. of novels=5No. of books of poems=3No. of dictionary=1Total no. of books=9

Q: 6-) If three balls are randomly drawn from a bow containing 6 white and 5 black balls, what is the…

A: Given three balls are randomly drawn from a bow containing 6 white and 5 black balls. To find the…

Q: One bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white balls and 6…

A: 1st bag:no.of white balls=6no.of red balls=3no.of black balls=4Total no.of balls=132nd bag:no.of…

Q: 4. Assume that 13% of people are left-handed. If we select 10 people at random, what is the…

A: There are different type of discrete distributions, some of them are binomial, Bernoulli, Poisson,…

Q: In a factory the labour force comprised of 70% male and 30% female. # 20% of the male workers and 5%…

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Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: In question, Given that 38% of the teachers at a high school are male teachers. Then we'll find the…

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: 9. From a pack of 52 playing cards, three cards are drawn one after the other without replacement.…

A: In a pack of 52 cards,no.of Ace cards=4no.of king cards=4n0.0f jack cards=4

Q: A 2​-card hand is dealt from a standard​ 52-card deck, and then one of the 2 cards is chosen at…

A: Total cards = 52 Total diamond card= 13 One card is selected and which is diamond. Thus, Total…

Q: A fund-raising team is to be made up of 3 SCOM and 5 BTM majors selected from their association…

A: Given that, A fund-raising team is to be made up of 3 SCOM and 5 BTM majors selected from their…

Q: n a lot of 25 molded parts there are 5 that are defective, if 3 are selected at random and without…

A: To find the probability that the three parts are defective:

Q: Suppose you have 2 identical green socks, 4 identical red socks, and 14 identical purple socks. If…

A: Given,no.of green socks=2no.of red socks=4no.of purple socks=14Total no.of socks=20

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: a. A bag contains 7 white marbles, 6 black marbles, and 5 red marbles. If a marble is drawn from the…

A: As per our guidelines, we are allowed to answer one question per query. Please ask b question…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Obtain the probability that exactly 4 of those games are won by the Colonials.   The probability…

Q: 4. From a lot of 10 missiles, 4 are selected at random and fired. If the lot contains 3 defective…

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Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: A class consists of 40 psychology majors, 30 criminal justice majors, and 30 nursing majors.  If one…

A: Given, A=Psychology major n(A)=40 B=Criminal justice major n(B)=30 C=Nursing major n(C)=30

Q: A bag contains 43 black marbles, 84 green marbles, and 73 blue marbles. If a marble is drawn from…

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Q: A personal computer manufacturer buys 37% of its chips from Japan and the rest from the United…

A: GIVEN DATA : Chips bought from Japan are 37% and 100-37%=63% from United States…

Q: Box A contains 8 items of which 3 are defective, and box B contains 5 items of which 2 are…

A: Solution To find the probability we will use conditional probability formula and total probability…

Q: Suppose a woman claims to be a clairvoyant. Specifically, she claims that if she is presented with 8…

A: From the given information, She will correctly identify the color of at least 6 of the cards without…

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

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Q: A fund-raising team is to be made up of 3 SCOM and 5 BTM majors selected from their association…

A:

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

A: Introduction: Total number of socks in the drawer is 12 [= 4 red + 5 white + 3 green]. Since the…

Q: A lot contains twenty missiles, two are selected at random and fired without replacing the first. If…

A: Given information: Let X be the number of missiles that are defective. X follows hyper-geometric…

Q: If two gloves are selected at random from the box, with replacement, what is the probability that a…

A: Simple random sampling (SRS) is a method of selection of a sample comprising of n number ofsampling…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given: P(Win)=P(Not Win)=0.5 Number of games (n) = 4 Consider, X be the random variable that…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Obtain the probability that the fourth student selected will be a male.   The probability that the…

Q: 1) If the probability is 0.70 that any one registered voter (randomly selected from official roles)…

A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we…

Q: 4. It is known that 75% of the mice inoculated with a serum are protected from a certain disease. If…

A: let p be the probability who have disease.  p=1-75%=0.25  p=0.25, n=number of samples=3  X be the…

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

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Q: 4. If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the…

A: Given : Total number of boxes =3 In 1st box 3 red, 2 yellow, 1 blue   In 2nd box 2 red, 2 yellow, 2…

Q: A Psychology class consists of 14 males and 36 females. If a random sample of n =3 students are…

A: Given that there are 14 males and 36 females. Given that n=3.

Q: A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random,…

A: There are total (7+2+1)=10 marbles  Given that there are 2 blue marbles So the number of marbles…

Q: If a list of 20 individuals who volunteered to supply blood, when it is needed for transfusion, has…

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Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. If two balls are drawn…

A: Given, An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. Total number of…

Q: A bag of 31 tulip bulbs contains 13 red tulip​ bulbs, 8 yellow tulip​ bulbs, and 10 purple tulip…

A: Solution