An office employs eight women and seven men. Three employees will be randomly selected for drug screening. What is the probability that both employees will be women?

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: A company that manufactures computer components has a 3% defective rate. If 12 components are…

A: Givenp=3%=0.03n=12Let "x" be getting no.of defective…

Q: A physics class has 50 students. of these, 16 students are physics and 13 students are female. Of…

A: From the provided information, Total students = 50 16 students are physics and 13 students are…

Q: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is the…

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Q: In a town, 61% of adults have health insurance. What is the probability that 5 adults selected at…

A: The binomial distribution is a discrete probability distribution. It has n independent Bernoulli…

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

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Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: 77% of all students at a college still need to take another math class. If 38 students are randomly…

A: Given data, n=38 p=77%=0.77 P(X=30)=?

Q: In a Toyota factory, 137 out of 129,000 cars have faulty brakes. If 50 cars checked at random, what…

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Q: Plantations Foods has 843 employees. A total of 255 employees have a college degree and 588 do not…

A: It is given that the total employees are 843. The number of employees have college degree is 255 and…

Q: In a small private​ school, 6 students are randomly selected from 17 available students. What is…

A: Given: Number of selected students = 6 Total number of available students = 17 Formula Used: The…

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: thirteen percent of adults are left handed. in a group of 30 adults, what is the probability of…

A: Let X=the number of lefty n=number of trials= 30 p=probability of success= 13%=0.13 X follows a…

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: A physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are…

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Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: Of 1100 students at Brown High School, 450 attended the first school dance of the year. Only 233…

A: Let define the events: A = Students attended the first school dance of the year B = Students…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

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Q: accounting professor claims that no more than one quarter of undergraduate business students will…

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Q: 71% of all Americans are home owners. If 37 Americans are randomly selected, find the probability…

A: The random variable home owners follow binomial distribution. The probability value is 0.71. The…

Q: A physics class has 40 students.  Of these, 17 students are physics majors and 15 students are…

A: Given ,A physics class has 40 students . 17 students are physics majors15 students are female .So…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

Q: A tennis club consists of 10 boys and 8 girls, of which 4 boys and 2 girls are randomly selected to…

A: The objective of the question is to find the probability that Aiden, Brian, and Diana are chosen to…

Q: A bag of Skittle’s contains 14 red, 16 yellow, 8 green, and 12 orange Skittle’s. What is the…

A: Total skittle's in bag: 50 Let D be the chance that randomly selected candy is orange:…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…