Each trial in a binomial experiment has a 25% probability of success.if the normal distribution is to be used to calculate a probability for this binomial experiment, then number of trials must be at least

Q: A statistics professor receives an average of five e-mail messages per day from students. Assume the…

A: Consider,X be a random variable that represent the number of messages that a professor receives. It…

Q: Why can’t all the probabilities for a Poisson random variable be displayed in a probability…

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Q: . A safety engineer claims that 2 in 12 automobile accidents are due to driver fatigue. Using the…

A: Givena safety engineer claims that 2 in 12 automobiles are due to driver…

Q: One assumption of the binomial distribution is that our sample size has to be greater than​ 10% of…

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Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

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Q: In a study of patients who were involved in problem gambling treatment were asked about co-occurring…

A: Given information: Denote the variable co-occurring addictive substances used by the subjects as X.…

Q: If random variable X has a binomial distribution with 18 and P(success) 0.3, find the mean of X.

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Q: A San Diego interviewer has found that one in four people approached will agree to take part in her…

A: Solution: Let X be the random variable that the number of people will agree to an interview. The…

Q: If four coins are tossed simultaneously, what is the probability distribution of the random variable…

A: From the provided information, Total outcomes tossing four coins simultaneously = 42 = 16

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

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Q: A company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the…

A: Givensample size(n)=64p=0.04Let "x" be the no.of defects in a batchx~Binomial(n=64 ,…

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: a. median…

A: We know that  if λ is the average number of successes occurring in a given time interval or region…

Q: In a factory that produces pieces of ready-made concrete, if the ratio of production of defective…

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Q: If n=15 and P=0.1, would normal distribution provide accurate probabilities?

A: Normal to binomial approximation :  For a random variable X with a Binomial distribution with…

Q: A company manufactures batteries in batches of 40.  If the batches have a 5% rate of defects, use…

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Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If 12% of the…

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Q: If the probability of a defective article is 1/10, find the Mean, Variance, Momer Coefficient of…

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Q: Can a binomial random variable X have a mean = 7 and the variance 11. Why or why not?

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a…

A: Let X denote the weekly salaries of teachers. Given that X follows Normal(mean = 490, SD = 45) Then…

Q: In a binomial experiment where the number of experiments is 50 and the probability of occurrence is…

A: We have to find prpbability by normal approximation of binomial distribution

Q: If repeated random samples of size 50 are taken from an infinite population, the distribution of…

A: Central limit theorem:   If the size of the samples taken from the population are sufficiently…

Q: The average number of flaws in a 100m optic cable is 2.2. If the number of flaws follows a Poisson…

A: Given Information: The average number of flaws in a 100m optic cable is 2.2 If the number of flaws…

Q: What is the Advantage and Disadvantage of Using the Binomial Probability Distribution

A: A binomial probability distribution is used when the number of trials are few and the probability of…

Q: A study found that consumers in the 18-24 age group go shopping 6.9 times a month on average. For…

A: Here, X is number of times consumers of age group 18-24 go for shopping. We are given average number…

Q: If the percentage of healthy units in the production of a type of traffic signal lamp is 80% and the…

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Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If12% of the…

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Q: When can we say that populations are normally distributed?

A: Introduction: Several tests of normality exist, using which you can verify whether a particular data…

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: O A. median…

A: Correct answer is (C) mean equals the variance

Q: probability that the 7th message is received within 20 seconds?

A: Given: X=Number of messages sentX~Poisson(λ=20)λ=20 per minute The probability density function for…

Q: A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger…

A: If one were to see that r/N (of the hypergeometric Distribution) is similar to p, The expected…

Q: In a binomial distribution, p, the probability of getting a successful outcome on any single trial,…

A: One of the properties of binomial distribution is that the probability of success must remain same…

Q: Given a binomial distribution in which the probability of success is 0.53 and the number of trials…

A: Using binomial distribution we find the probability.

Q: Define the Mean and Variance of Sums of Random Variables?

A: The mean of a random variable X is a weighted average of the possible values that the random…

Q: In a California community college, 60% of students will transfer to a college in the CSU system. The…

A: From the provided information, 60% of students will transfer to a college in the CSU system that is…

Q: If 5% of patients undergoing surgery get infected, what is the chance that 10 or more of the next 30…

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

Q: If we model the number of likes for a Facebook picture post as a Gaussian random variable with mean…

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Q: In a Binomial Distribution consisting of 4 independent trials, probabilities of 2 and 3 successes…

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Q: Give an example of two different random variables which have the same probability distribution (and…

A: 1) Considering a 6 face fair die  Let random variable X represents the outcome we get when we roll…

Q: In a binomial distribution the probability of success is equal to 0.5 and the mean is equal to 10.…

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Q: As the size of a simple random sample is increased, the standard error of the sample mean will…

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Q: A population is known to have a mean of μ = 30. If a researcher predicts that the experimental…

A: Answer:-  Given, μ = 30

Q: If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x…

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Q: For a Poisson random variable, what is the relationship between its parameter and its mean?

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Q: For a binomial random variable with a mean of 35 and 100 trials, what is probability of success on…

A: Given,n=100mean of the binomial distribution=35

Q: Assume that the number of births in a local hospital follows a Poisson distribution and averages 4.2…

A: Given: Mean (λ) = 4.2 Consider, X be a random variable that represents the number of birth in a…

Q: The probability distribution itself is assumed to be a beta distribution. True or false?

A: Beta Distribution is a probability Distribution, one of its most common uses is to model one's…

Q: A probability distribution experiment where each trial can only have two outcomes or outcomes that…

A: A probability distribution experiment where each trial can only have two outcomes or outcomes that…