A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?

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

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

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: 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: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: At a certain college, there were 400 Engineering majors, 300 Science majors, and 100 Mathematics…

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Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: If a committee of 4 is to be chosen at random from a class of 10 students, what is the probability…

A: The number of ways a committee of 4 can be chosen from a class of 10 students =104 ways Note that…

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: A poll is given, showing 60% are in favor of a new building project. If 7 people are chosen at…

A: A poll shows that 60% are in favor of a new building project. Seven people are chosen at random.…

Q: For this problem, assume that there are 6 men and 4 women on the committee, and that a subcommittee…

A: If there are all the same sex then there can be two outcomes: 1) All the men: We can select 3 men…

Q: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

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Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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Q: If 25% of the bulbs produced by ABC Lighting Company are defective, determine the probability that…

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Q: A sub-committee of 6 members is to be formed out of a group of 7 men and 4 ladies. Calculate the…

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Q: Suppose that 15% of people own dogs. If you pick two people at random, what is the probability that…

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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: Number of men=8 Number of women=8 The objective is to form a group of 8 members with half of these…

Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…

A: Given Information: 40% of the population is poor  25% people are rich 35% are middle class.

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

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Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

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Q: A cooler contains 9 bottles of water: 3 sparkling and 6 regular. If two are drawn out at random what…

A: According to the provided data, the total number of water bottles in a cooler is 9 out of which 3…

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: For this problem, assume the box contains 8 white balls, 5 blue balls, and 4 red balls, and that we…

A: Number of white balls is 8. Number of blue balls is 5. Number of red balls is 4.

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: For this problem, assume the bag contains 14 basketballs, 5 of which have defective valves. You…

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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: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

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

A: Given information: Total number of cards in the deck = 52 Total number of diamonds in the deck = 13…

Q: Consider a family with three children. Given that at least one of the children is a boy, what is the…

A: Given,a family has 3 childrenthe probability of having a boy is 0.5and  the gender of the second…

Q: ) A human resources director for a large corporation claims that of the 97 employees on a typical…

A: P: probability that an employee is on time P= 90/97 = 0.9278 a) P(both arrive on time) = (0.9278)2 =…

Q: Suppose that 65% of people are voting in the election. If you pick two people at random, what is the…

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Q: A team of 5 men and 4 women is to be chosen at random from a group of 8 male and 7 female…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: If 20% of the chips produced by a company are defective, thenthe probability that at most 3 out of 5…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose that 51% of people own dogs. if you pick two people at random what is the probability that…

A: Given: The value of 51% of people own dogs includes the pick two people at random. The probability…

Q: Assume for this problem that the company has 6 Hondas and 5 Fords, and two cars are selected…

A: Number of Hondas cars = 6 Number of Fords= 5 Probability of both cars being Hyundai , given that…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given that only one of the cards in the hand is a queen​.  So 1 card among the 3 cards is a queen.…

Q: Suppose that 19% of people own dogs. If you pick two people at random, what is the probability that…

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Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

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

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Q: If a committee of 3 is to be chosen at random from a class of 15 students, what is the probability…

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Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person owns dog. Given that p = 0.38

Q: A committee of size 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: There are totally 15 people in which 6 are men and 9 are women. The number of ways selecting…

Q: Assume for this problem that the company has 8 BMWs and 5 Hondas, and two cars are selected randomly…

A: Let us denote that: B= both are BMWs H=both are hondas M=both are of the same make.    So, the…

Q: Find the probability that in a family of 4 children there will be (a) at least 1 boy and (b) at…

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Q: Assume for this problem that the company has 5 Hyundais and 7 Jeeps, and two cars are selected…

A: Given data are: Number of Hyundai cars = 5 Number of Jeeps = 7 Probability of both cars being…