Example 28 : Find the probability that at most 5 defective components will be found in a lot of 200. Experience shows that 2% of such components are defective. Also find the probability of more than five defective components.

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: EXAMPLE 3 If Esther attempts 3 free-throws, find the probability that she misses at least one…

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Q: A city council consists of four Democrats and seven Republicans. If a committee of four people is…

A:

Q: In a 52-number lottery, what is the probability that you will get the winning ticket (6 numbers out…

A: Given : Total number of lottery = 52

Q: In a game, you have a 1/43 probability of winning $142 and a 42/43 probability of losing $6. What is…

A: The probability of winning $142 is 1/43 and the probability of losing $6 is 42/43.

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Given data: The total numbers of cards are n=52. The probability of choosing a spade card is,…

Q: ) In a game, you have a 1/36 probability of winning $94 and a 35/36 probability of losing ss. What…

A: Let X denote the value of the game.  Given that P(X = 94) = 1/36 P(X = -8) = 35/36

Q: In a class of students, the following data table summarizes how many students have a brother or a…

A: From the provided information,   Has a brother Does not have a brother Total Has a…

Q: A study contains 31 women and 24 men. If 3 subjects are randomly selected without replacement, what…

A: Solution-: We have, Number of women =31, Number of men =24            Total number of persons (Women…

Q: (a) Find the probability of randomly selecting a household that has one or two televisions.

A: here given discrete probability distribution for no. of television per household x= no. of…

Q: 5) People were asked if they prefer Pepsi or Coke. The results are in the table below. Female Male…

A: ( a ) P( both prefer Pepsi) = ? ( b ) P( Female or Coke ) = ?

Q: Example 29. Determine the probability of throwing (a) Three (b) an even number (c) multiple of 3…

A: Answer:

Q: Example 2.4.5 What is the probability of obtaining multiples of 3, twice in a throw of 6 dice?

A:

Q: If the probability of a child being a girl is 1/2, and a family plans to have six children, what are…

A: It is given that family plans to have six children. So, Total number of sample space is =26=64 The…

Q: A nationwide survey revealed that 42% of the population likes eating pizza. If two people are…

A: Given,P(person likes eating pizza)=0.42P(person does not likes eating pizza)=1-0.42

Q: If 20 horses face off in the Kentucky Derby, what is the probability of winning with an exacta (a…

A: Given that there are 20 horses.  So the probability of each horse winning is= 120   If I bet on 2…

Q: A jar of marbles contains the following: two red marbles, three white marbles, five blue marbles,…

A: Given that in a jar of marbles contains the following: Number of red marbles = 2 Number of white…

Q: What is the probability that a five-card poker hand contains the one of diamonds, the three of…

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Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

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Q: What is the probability of drawing a black 3, replacing it, then drawing a 3?

A: There are 2 black 3s. And total 4 threes.  So we can draw the first black 3 in 2 ways. After…

Q: About 10% of the population of a large country is hopelessly romantic. a) If two people are…

A: According to the provided data, the probability of any individual being hopelessly romantic is 10%,…

Q: Approximately 30% of obese patients develop diabetes. If a physician sees 10 patients who are obese,…

A:

Q: A basket contains 6 apples, 5 bananas, 4 oranges, and 5 guavas. Dominic randomly chooses one piece…

A: Given that a basket contains  6 Apples 5 Bananas 4 Oranges 5 Guavas

Q: Example 5: If a bank received on the average 6 bad cheques per day, find the probability that it…

A:

Q: The picture hows a family that has had nine girls in a row. Find the probability of this occurrence.

A: Given: Number of girls in a family = 9 Assuming that no other child is born other than 9. Also,…

Q: what is the probability of getting a 6 from one draw on a standard deck of cards

A: We know that Total number of cards = 52 Number of cards with 6 = 4

Q: You draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck is​…

A: Given, You draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck…

Q: You randomly select one card from a standard 52-card deck of playing cards. What is the probability…

A: Given, deck contains 52 cards i.e., n(S)= 52   Number of 5 number  red cards in a deck= 2 Number of…

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A:

Q: An introductory nursing class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12…

A: Given data, freshman males=9 freshman females=15 sophomore males=8 sophomore females=12 Total =44…

Q: In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well as…

A: It is an important part of statistics. It is widely used.

Q: An aquarium at a pet store contains guppies (25 females and 8 males) and 36 tetras (14 females and…

A: Given data is shown in the table   female male total guppies 25 8 33 tetras…

Q: you deal a hand of five cards from a regular deck of playing cards. find the probability of dealing…

A: In a standard deck of cards, there is a total of 52 cards. There are four suits: Spades, Diamonds,…

Q: On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple…

A:

Q: On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple…

A: A deck consists of 52 cards. n(S)=52

Q: About 35% of the population have a college degree. If three people are randomly selected, what is…

A: Given,  p = 35% = 0.35 q = 1 - p = 1 - 0.35 = 0.65 Sample size, n = 3 Let X be a random number which…

Q: What is the probability of getting at least one 4 when you throw 2 dice?

A:

Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

A:

Q: in a deck of 52 cards , what is the probability of drawing either a two or a three on the first…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: A researcher finds that the odds of catching a grouper on a fishing expedition are 3:1. Find the…

A: From the given information, A researcher finds that the odds of catching a grouper on a fishing…

Q: In a deck of 52 cards, what is the probability of getting a hand of five cards and getting exactly…

A: The number of ways to select 5 cards from deck of 52 cards=C552=52!5!…

Q: In a throw of two dice, the probability of obtaining a total of 10 or 12 is

A: Introduction :-  Given event :-  Throw of two dice. We have to find probability of obtaining a total…

Q: Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are…

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Q: Example 4: A manufacturer knows that the condensers he makes contain on average 1% defectives. He…

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Q: Example 8: A nationwide survey found that 72% of people in the United States like pizza. If 3 people…

A: Proportion of  pizza liked by US people= 72% This Implies that probability of pizza liked by US…

Q: If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the…

A: Given data: The total numbers of patients are n=100. The numbers of patients who have flu are f=20.…

Q: Example 2.3.3 What is the probability of scoring 10 in a single throw with 6 dice?

A:

Q: If you have λ = 4.2, what is the probability that P(x < 2)?

A: The given value for λ is 4.2.

Q: What is the probability of flipping a penny and a nickel and obtaining one head and one tail?

A:

Q: Question-3 a. Thirty percent of business travelers carry a laptop. In a sample of 17 business…

A: