We select 5 women at random. What is the probability that not all of them are "married"? Give your answer to 4 decimal places. Think about what "keywords" you see in this problem..

Q: To test its shotgun shells, a company fires 5 of them. What is the probability that all 5 will fire…

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Q: In a large population, 66 % of the people have been vaccinated. If 3 people are randomly selected,…

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Q: A burglar alarm system has 6 fail-safe components. The probability of each failing is 0.03. What is…

A: Given: n = 6 P= 0.03

Q: A dice is rolled 3 times. What is the probability that a 6 will appear in the toss?

A: Given Information: A dice is rolled 3 times. To find the probability that a 6 will appear in the…

Q: A history class is comprised of 3 female and 9 male students. If the instructor of the class…

A: Given:- female students =3 male students =9 total students = 3+9 = 12   5 students are randomly…

Q: Some friends are taking turns spinning a toy to see how it lands. The toy has four sides, each with…

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Q: At a particular college 10% of the students major in business, and are required to take a Statistics…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: What is the probability that if you roll a die 6 times, you will get a 2 on the 6th try?

A: The sample space for rolling a dice is {1,2,3,4,5,6} probability of getting 2 is 16 Probability of…

Q: 14. Find the probability when x is at least 3?

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Q: In a bag of marbles, there are 12 green, 12 blue, and one red. Find the probability for each…

A: As per given by the question, there are 12 green, 12 blue, and one red marbles in a bag. Now, 1.…

Q: An urn contains 5 red balls and 9 yellow balls. If Vince chooses 6 balls at random from the urn,…

A: It is given that Number of red balls = 5 Number of yellow balls = 9 Total = 14 Sample size = 6 The…

Q: What is the probability that the 2 and 3 of clubs are next to each other in a shuffled deck? Hint:…

A: Introduction: Probability can be defined as a mathematical tool that helps the experimenter provide…

Q: A virologist vaccinates a few mice one at a time with a virus until he finds 3 that have contracted…

A: Negative Binomial Distribution: If we have a sequence of trials each having two outcomes, say…

Q: Suppose you roll a 20-sided die two times. What is the probability that the first time you will roll…

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Q: A baseball player has a batting average of 0.4. What is the probability that he has exactly 1 hits…

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

Q: In a large population, 66% of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that p = 66% = 0.66 n = 5 Here we will use  binomial distribution P(X = x) = nCx px…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are…

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Q: a) A junk drawer at home contains six pens, two of which work. What is the probability that you…

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: fish that are above the legal limit and 3 that are not. What is the probability that he'll catch 3…

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Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

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

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected,…

A: Givenp=0.68n=5Let x be no.of people vaccinatedx~Binomial(n=5,p=0.68)P(X=x)=(nx)×px×(1-p)n-x   ;…

Q: Approximately 10.3% of high school students drop out of school before graduation. From a random…

A: Let p be the probability of high school students drop out of school before graduation  n=Sample  X…

Q: According to the US Census, 34% of the population of Kentucky have a bachelor's degree or higher. If…

A: Apply Bernoulli's trials. Proceed as shown below...

Q: A baseball player has a batting average of 0.3. What is the probability that he has exactly 3 hits…

A: Given,n=7p=0.3Let X=no.of hits in his next 7 at-batsX~Binomial(n=7 , p=0.3)P(X=x)=7x 0.3x 1-0.37-x…

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

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Q: In a school, 70% of males play soccer, and 12% of females play soccer. The school consists of 55%…

A: Conditional probability:  Let A and B be two events related to a random experiment. Then the…

Q: In a large population, 71 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people have been vaccinated and n be the sample number of people.…

Q: A history class is comprised of 3 female and 4 male students. If the instructor of the class…

A: Given,   Number of female = 3 Number of male = 4   Total = 7   The objective is to find the…

Q: A jar contains 3 red, 2 white, and 5 blue marbles. What is the probability of selecting two marbles…

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Q: You flip a fair coin 10 times. What is the probability that it lands on heads exactly 3 times? The…

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Q: In a large population, 59 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given Data Probability of success,p = 0.59 Probability of failure,q=(1- 0.59 )= 0.41…

Q: You deal 4 cards without replacement from a standard 52-card deck. The probability that you deal…

A: Consider that 4 cards are drawn without replacement from a standard 52 card-deck.The probability,…

Q: You toss twice coins. What is the probability that both land Tails up?

A: Given, Possible outomes => [h,h] [h,h] [t,t] [t,h]Favourable outcomes =[t,t] = 1number of…

Q: 2. Find the probability that it is actually one.

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Q: you roll a die 150 times what is the probability you roll a 6 exactly 30 times

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Q: A recent poll found that 68% of Americans worry about cancer. Show your work using the appropriate…

A: a. The binomial probability distribution function is, PX=x=nxpx1-pn-x In the formula, n denotes the…

Q: A history class is comprised of s female and 6 male students. If the instructor of the class…

A: Given: Number of females = 8 Number of males = 6 Total number of students = 8+6…

Q: A baseball player has a batting average of 0.37. What is the probability that he has exactly 1 hits…

A: Binomial distribution : A discrete random variable x is said to be binomial distribution with the…

Q: You are building a robot for space exploration and decide to equip it with a LIDAR sensor. The…

A: Solution

Q: In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Introduction: Denote X as the random variable of interest here, which is the number of people who…

Q: You select 7 statistics students at random, with replacement. What is the probability that exactly 3…

A: here given, total students =60 31 sleep on their side 20 sleep on their stomach 9 sleep on their…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Solution Given: Sample size (n) = 11 p (don't grow into a healthy plant) = 1- p (grow into a healthy…

Q: A group of people were asked if life exists elsewhere in the galaxy. 209 responded "Yes", and 227…

A: Number of people who responded "YES" = 209Number of people who responded "NO" = 227

Q: If you roll 1 six sided die, what is the probability that you roll a 3? (Express your answer as a…

A: What is Probability: When we perform a random experiment, we can expect more than one possible…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant.If 6 seeds are planted,…

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

Q: A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble,…

A: Solution: From the given information, a box contains 15 green marbles and 16 white marbles. Total…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted,…

A: Let x be number of plants don’t grow. Here x follows binomial distribution with parameters n = 7 and…

Q: The probability that a patient correctly diagnosed by a doctor with a rare stomach disease is 0.4.…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Given that, 68% of the people have been vaccinated. Probability, p = 68% = 0.68 Sample size, n = 3

Q: Joe tosses a fair three-sided die 9 times. What is the probability he rolls all threes? If…

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