In a certain Algebra 2 class of 29 students, 17 of them play basketball and 6 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Q: 15% of the employees in a certain government organization have a postgraduate degree. If people are…

A: Given,p=0.15Let a random variable X~Geometric (p=0.15)P(X=x)=0.151-0.15x-1P(X=x)=0.150.85x-1  ;…

Q: In a certain community, 35% of the families own a dog, and 20% of the families that own a dog also…

A: Let us denote D= dog owners C= cat owners Given that P(D)=35%=0.35, P(C|D)=20%=0.20, P(C)=37%=0.37

Q: 2. The manager of a store buys portable radios in lots of 12. Suppose that, on average, 2 out of…

A: Given, Number of samples =12 and 2 out of each group of 12 are defective To find: The probability…

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: If 4% of the population is color-blind, what is the probability that a group of 30 people, at least…

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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: In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and 25%, respectively,…

A: D = defective  b1=0.30 b2 0.45 b3 =0.25 db1 =0.02 d/b2=0.03 d/b3=0.02

Q: In a certain assembly plant, three machines B1, B2, and B3 make 30%, 25% and 45% respectively, of…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball.…

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Q: In a certain Algebra 2 class of 29 students, 7 of them play basketball and 14 of them play baseball.…

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Q: In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play…

A: In the class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14…

Q: 11. A bowl contains 25 red balls, 20 green balls, and 5 white balls. If Kaye picks one of these…

A: We have given the statement about the probability of balls 25 red, 20green, 5 white Total = 50 Note:…

Q: A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given data:     The numbers of juniors in the class are: n(J)=10. The numbers of seniors in the…

Q: In a certain Algebra 2 class of 28 students, 23 of them play basketball and 12 of them play…

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Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

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Q: 17) A shipment of twelve smartphones contains seven with cracked screens. If 18) A small pond…

A: Given that, 17. A shipment of twelve smartphones contains seven with cracked screens. If sold in a…

Q: 3. A box contains four 40 W bulbs, five 60 W bulbs, and six 75 W bulbs. (a) If two bulbs are…

A: Given : Number of 40 W bulbs=4 Number of 60 W bulbs =5 Number of 75W bulbs =6 Total number of bulbs…

Q: In a certain residential suburb, 60% of all households get internet service from the local cable…

A: Here the given information,Let A: households get- internet service from the local cable company.…

Q: At a tune-up and brake repair shop, the manager hat found that a car will require a tune-up with…

A: Let A= a car require a tune-upB=a brake repair jobgiven,P(A)=0.6P(B)=0.1P(A∪B)=0.02

Q: In a class of 40 students, 22 students like mathematics, 20 students like science, and 8 students…

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Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

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Q: In a certain school, 30% of the student body is taking a biology class. Of the biology students, 35%…

A: Given; P(biology class)=30%=0.3 P(other science class)=1-0.3=0.7 P(B in the class/biology…

Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

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Q: In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball.…

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Q: In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball.…

A: Total number of students in class= 29 Number of students who play basketball=8 Number of students…

Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain…

A: Given information, p=0.3 q=0.70 Consider, the expected number of winning is, Ex=1p      =10.3…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Introduction to binomial distribution: Consider a random experiment involving n independent trials,…

Q: A player is dealt two cards from a 36-card deck, where half the cards are black and the other half…

A: Given information: Total number of cards in the deck is n(S) = 36. The number of red cards in the…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: From the given information, In the population of 10,000, there are 5000 nonsmokers, 2500 smokers of…

Q: Consider the type of clothes dryer (gas or electric) purchased by each of five different customers…

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Q: In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball.…

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Q: An investor believes that on a day when the Dow Jones Industrial Average (DJIA) increases, the…

A: The probability that Dow Jones Industrial Average (DJIA) and NASDAQ increases is 0.77. There is a…

Q: 3. The probability of rain on any day in the month of April is 24%. The probability that it will be…

A: Let us denote R= rainy and W= windy  Given that: P(R)=24%=0.24  P(W)=38%=0.38 P(R and W)=10%=0.10…

Q: In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball.…

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

A: Let us denote D= dog owner C=cat owner   Given that, P(D)=20%= 0.20 P(C|D)= 20%=0.20 P(C)=34%=0.34

Q: There is a 0.39 probability that John will purchase a new car, a 0.73 probability that Mary will…

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Q: Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

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Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled…

A: Let define the events: A = students are enrolled in a psychology course B = Students are enrolled in…

Q: In a given​ year, 2,113,333 males and 2,035,387 females were born in a certain country. If a child…

A: It is given that, there are 2,113,333 males and 2,035,387 females in a century.

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball.…

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Q: If the student attends class on a certain Friday, then he is four times as likely to be absent the…

A: Given : State 1 : Attend class State 2 : Absent from class

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: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

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Q: 4. Sixty percent of the families in a certain community own their own car, thirty percent own their…

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Q: A pack of 20 flash drives contains 3 defectives.  If 3 items are drawn without replacement, find the…

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Q: In a certain Algebra 2 class of 27 students, 11 of them play basketball and 9 of them play baseball.…

A: Given that  Total students = S= 27 Play basketball= A = 11 Play baseball = B = 9 Play neither sport…

Q: In a certain Algebra 2 class of 24 students, 6 of them play basketball and 7 of them play baseball.…

A: The number of students play basketball is 6 and the number of students play baseball is 7.

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A: Consider an event A defines that main parachute deploys and event B defines that backup parachute…