A computer generates seven random numbers over the interval 0 to 1. Is it more likely that exactly 3 will fall in the interval between 0.5 and 1 or fewer than 3 will be greater than 0.75

Q: Assume, on a certain day, 50% of visitors of a store purchase at least one merchandise. If a sample…

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Q: A humane society claims that less than 73​% of households in a certain country own a pet. In a…

A: A random sample of 700 households in that​ country, 490 say they own a pet. n=700 x=490 α=0.01​

Q: A cubic die is biased, so that for each integer n, 1 ≤n ≤6, the probability of the event {n} is…

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Q: Suppose each of 1000 players face a challenge in which a Bernoulli trial is repeated until the first…

A: To find: How many of the 1000 players will achieve the first success within1000 attempts, on…

Q: Based on a​ poll, 50% of adults believe in reincarnation. Assume that 8 adults are randomly​…

A: It is given that 50% of adults believe in reincarnation while 8 adults (n) are randomly selected.…

Q: An urn contains 3 green balls, 2 blue balls, and 4 red balls. in a random sample of 5 balls, find…

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Q: Suppose that 55% of all babies born in a particular hospital are boys. If 8 babies born in the…

A: Here Give.  Total Babies Born =8 =n Probability of born baby is Boy=0.55=p So Here  (1)Probability…

Q: Color blindness appears in 1% of the people in a certain population. How large must a sample be if…

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Q: Assume that the box contains balls numbered from 1 through 28, and that 3 are selected. A random…

A: Given that X = 3 times the number of oddballs selected, plus 4 times the number of even. We first…

Q: The recent survey conducted in a certain village suggests that 41.26% of all residents are…

A: Solution: Given that the probability that a resident is self-employed is 0.4126 and it is denoted by…

Q: Given that the person in position T is the tallest of all the people in the first L positions (for 1…

A: Given Data: 1 ≤ T ≤ L ≤ N

Q: a card is selected at random from a standard deck of playing cards.  Compute the probability that…

A: Given data:       The total number of cards in the standard deck is, The expression for the number…

Q: Suppose we draw uniformly at random a card from a standard deck of cards, pu card back in the deck,…

A: From the given information, we draw uniformly at random a card from a standard deck of cards, put…

Q: Suppose tickets numbered 0 to 28 are mixed up and kept it in a box. Write down the sample space ?…

A: The tickets are numbered from 0 to 28 hence the sample space is given by:…

Q: If X is a random variable having a geometric distribu-tion, show that P(X = x + n|X > n) = P(X =…

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Q: of the physics graduates of a university, 30% received a starting salary of 30000 or more. if 5 of…

A: According to the provided information, Of the physics graduates of a university, 30% received a…

Q: 18. 5% of all men wear a XXL sized t-shirt. If 20 men are randomly selected, find the probability…

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Q: crust pizza in their meal. Assume that, a random sample of 10 customers is selected.   a) What is…

A: Given that :  3 out of 5 customer order thin crust pizza  Number of customers =10  We have to find…

Q: Suppose that six cups of yogurt are selected at random. What is the probability that at least three…

A: For a random variable, X~B(n,p), the probability mass function is, P(X=x)=nCxpxq(n-x) ;…

Q: Suppose that X is a discrete random variable and Var[X] = 3. How large must a be so that Chebyshevs…

A: Given problem is : Suppose that X is a discrete random variable and Var[X] = 3. How large must a…

Q: The probability that all of the 14 selected people have brown eyes is ?

A: This is the case of binomial distribution because it follows all the conditions of binomial. The…

Q: Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 4 adults are randomly​…

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

Q: ) Suppose that two balls are randomly and independently selected in succession with replacement from…

A: Given that,  Two balls are selected from a box containing 4 similar balls numbered 5,10,15,20 We…

Q: The unemployment rate in a city is 16%. If 7 people from the city are sampled at random, find the…

A: Given that the unemployment rate in a city is 16%. Probability, p = 16% Sample size, n = 7

Q: 15. If n particles are emitted, the probability that at least one particle will penetrate the shield…

A: Given data P(X≥1) = 1 – 0.99n In order for this value to be at least 0.8 P(X≥1) = 1 – 0.99n  = 0.8…

Q: The unemployment rate in a city is 13%. If 6 people from the city are sampled at random, find the…

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Q: According to one poll, 48% of households in a certain region still had landline phone service.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose a survey of 1000 students is obtained from a college whose population is 10,000 students.…

A: In statistics, we take a certain individual and we study the characteristics of that particular…

Q: a.  90% of adults are right handed.  If you take simple random samples of 80 people, what will be…

A: This is a binomial distribution question withn = 80p = 0.9q = 1 - p = 0.1This binomial distribution…

Q: From experience, an airline knows that only  70%  of the passengers booked for a certain flight…

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Q: Given a sequence of Bernoulli trials with n = 7, k is at least 1, and p = 0.45, find the binomial…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: A simple random sample of size n from a finite population of size N is a sample selected such that…

A: Simple random sampling: If a sample of n subjects is selected and every unit in the population has…

Q: Based on a​ poll, 60​% of adults believe in reincarnation. Assume that 8 adults are randomly​…

A: Solution: a. Let X be the number of adults believe in reincarnation and n be the sample number of…

Q: Q: Given a set of (10) transistors, (2) of them are defective. Choose a sample of (4) transistors,…

A: (1). (i). Let the event that the sample has one defective transistor be A. Now, we need to find the…

Q: You can place n=5 inseparable stone balls in k=3 distinct boxes in ("k-1) = () different ways. If…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: 24. If x be one of the first hundred natural numbers chosen at 100 random, find the probability that…

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Q: Select uniformly at random a permutation of {1, 2, ..., 100}. What is the probability that in the…

A: According to the provided data, the random experiment is selecting uniformly at random, a…

Q: If an odd number is chosen at random from 2 to 20, then the probability of getting a prime number is…

A: a). The odd numbers between 2 and 20 are, S= {3, 5, 7, 9, 11, 13, 15, 17, 19}. The prime numbers in…

Q: According to the statistics, 13% of cars in the city were at least 12 years old in 2004. Assume that…

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Q: 80% of all Americans live in cities with population greater than 100,000 people. If 50 Americans are…

A: n = 50 , p = 0.80 np = 40 > 10  nq = 10 ≥ 10  So, Normal approximation to binomial dist is…

Q: Find the probability of getting a prime number exactly 2 times, 2-Find the probability of getting a…

A: HERE GIVEN, A fair die is thrown 10 times and getting a prime number is treated as a success n=10…

Q: Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a…

A: Number of observation= n = 20  Probability of success= p = 80%=0.80  So, X follows a binomial…

Q: 13% of all Americans live in poverty. If 42 Americans are randomly selected, find the probability…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: When computer generates random digits, the probability that any particular digit in the set…

A: Given Solution:

Q: Suppose that 45% of all babies born in a particular hospital are girls. If 7 babies born in the…

A: Let "X" be the baby born is a girl.

Q: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at…

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Q: 8. 5% of all men wear a XXL sized t-shirt. If 20 men are randomly selected, find the probability…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A box contains m balls of which r are red. They are randomly picked up. • Two balls are taken one…

A: Since you have asked multiple questions, we will answer the first one. If you need specific answers,…