Ten items are to be sampled from a lot of 60. If more than one is defective, the lot will be rejected. Find the probability that the lot will be rejected in each of the following cases. a) The number of defective items in the lot is 5. b) The number of defective items in the lot is 10. c) The number of defective items in the lot is 20.

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Q: Assume that the box contains 9 balls: 2 red, 4 blue, and 3 white. Balls are drawn in succession…

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Q: A poll is given showing 80% are in favor of a new project if 5 people are chosen at random, what…

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

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Q: A jury of 12 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

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Q: A jury pool consists of 31 people, 15 men and 16 women. Compute the probability that a randomly…

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Q: A poll is given, showing 20% are in favor of a new building project. If 8 people are chosen at…

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Q: Suppose that 35% of all voters prefer Candidate A. If 8 people are chosen at random for a poll, what…

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Q: A poll is given, showing 55% are in favor of a new building project. If 5 people are chosen at…

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Q: An urn holds 10 identical balls except that 2 are white, 2 are black, and 6 are red. An experiment…

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Q: A manufacturer of automobile tires reported that among a shipment of 600 sent to a local…

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

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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…

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Q: From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men…

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

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

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Q: A poll is given, showing 60% are in favor of a new building project. If 8 people are chosen at…

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Q: Assume that the box contains 7 balls: 4 white, 2 green, and 1 blue. Balls are drawn in succession…

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Q: Suppose that three microchips in a production run of forty are defective. A sample of five is to be…

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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 sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 6 wood and 14…

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Q: Suppose that 55% of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what…

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Q: In a​ survey, it was found that 80​% of adults operate the flusher of toilets in public restrooms…

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Q: If six different customers A,B,C,D, E and F arrive for service at random order what is the…

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Q: In a New York Times article a reporter stated that seventy three percent of its readers favored the…

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Q: A jury pool consists of 30 people, 18 men and 12 women. Compute the probability that a randomly…

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Q: A population consists of 15 items, 10 of which are acceptable. In a sample of four items, what is…

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Q: If an urn has five white balls and 10 red balls what is the probability that five randomly selected…

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Q: If you are randomly sampling one at a time with replacement from a bag that contains eight blue…

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Q: 4) A committee of 7 is to be randomly selected from a small company employing 10 Engineers, 4…

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Q: Suppose that 75% of all college students use TikTok. If 15 are selected at random: a)What is the…

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Q: consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.  If two…

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Q: A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at…

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Q: (11) A three-person jury is to be selected, at random, from a pool that has 6 people with green eyes…

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Q: are selected at random, what is the probability that the majority of the committee members are…

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

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Q: Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of…

A: We have to find given probability.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.