How would you use the normal distribution to find approximately the frequency of exactly 5 successes in 100 trials, the probability of success in each trial being p=0.1.

Q: If you select a random z-score from the normal distribution, what is the probability that you will…

A: The formula for z-score is as follows: z-score = x-μσ

Q: Why is the normal distribution so important? Answer Choices: Because the probability of getting a…

A: A normal distribution is a symmetric distribution in which most of the density of the data lies…

Q: For a normal population with µ = 100 and σ = 9, what is the probability of obtaining a sample mean…

A: According to the given information, we have Mean = 100 Standard deviation = 9 Sample size = 25

Q: Using the standard Normal Distribution table, what is the probability of scoring above a z-score of…

A: Given Probability of scoring a z score of +0.61

Q: The time taken by brake discs to overheat on construction equipment is normally distributed with…

A: The mean is 3.1 and the standard deviation is 0.4.

Q: How much money does a typical family of four spend at McDonald’s restaurants per visit? The amount…

A: Given that, The amount is a normally distributed random variable whose mean is $16.40 and whose…

Q: A clinical psychologist is writing a grant proposal. As part of this process, they are required to…

A: Given information- Population mean, µ = 80 Population standard deviation, σ = 12 Sample size, n = 9…

Q: Jacob helped his younger sister create a gameboard spinner. The spinner has a 53% chance of landing…

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Q: What is the probability of a sample mean being between z-values of -1.58 and 0.79?

A: We have to find  the probability of a sample mean being between z-values of -1.58 and 0.79?

Q: For a binomial distribution in which the probability of success is p = 0.5, the variance is twice…

A: Given that, Binomial distribution Probability of success, p = 0.5

Q: A simple random sample of 400 individuals provides 100 Yes response.  What is the estimate of the…

A: We know that,  If P is population proportion and  p^ is sample proportion then standard error of…

Q: What is the probability of randomly selecting a z-score less than z = 1.25 from a normal…

A: A normal distribution can be visualized by looking at the curve below. X-axis shows Z score which is…

Q: Mustration 17.14. How would you use normal distribution to find approximately the frequency of…

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Q: Based on historical data, your manager believes that 26% of the company's orders come from…

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Q: D. pl-H.20 <26-0.80

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Q: In order to be considered for a tier 1 point guard in women’s basketball, you need to be 5’8”. Let’s…

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Q: What is the probabilities associated with the normal distribution of a P(z >= .23) =

A: Z score is given z = 0.23  Using Excel formula =NOMSDIST(0.23) or Z table we find the probabilities…

Q: What is the variance of a binomial distribution in which the number of trials n = 100 and the…

A: The variance of the probability distribution is given by: VarX=npq Where n is the number of…

Q: 3. For a final class project, a student plans to survey a representative sample of 50 students and…

A: Provided information is, for a final class project a student plans to survey a representative sample…

Q: A broadcasting executive is reviewing the prospects for a new television series. According to his…

A: Given: Probability that rating is higher than 17.8 is 0.25 Probability that rating is higher than…

Q: In a Binomial experiment where the number of experiments is N = 50 and the probability of the event…

A: Given: N=50p=0.4q=1-p=0.6 The normal approximation of binomial distributiion states that,  If…

Q: What is the probability of randomly selecting a z-score greater than z = -0.75 from a normal…

A: Let Z be a standard normally distributed random variable with mean 0 and standard deviation 1.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. Based on that, the mean…

A: We have given that the mean 173000, standard deviation 32000 and sample size 13.   Note: According…

Q: Using the Standard Normal Distribution table, what is the probability of scoring above a z-score of…

A: The provided information are: z score=-2.44 To calculate the  probability above z score:…

Q: Why is it that the normal distribution is the most useful probability distribution?

A: Solution-: We want to get the reason why is it that the normal distribution is the most useful…

Q: For a normal distribution  What z-score separates the highest 10% from the rest of the scores?…

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Q: What is the probability of randomly selecting a score with a value greater than X = 63 from a…

A: Given,Mean (μ) =60Standard deviation (σ)=12And X=63

Q: What is the probabilities associated with the normal distribution of P(- 3.25

A: Z = -3.25  P( Z ≤-3.25) denoted as P( -3.25)

Q: What is the probability of randomly selecting a z-score less than z = - 1.55 from a normal…

A: From the provided information, The z score less than z = -1.55

Q: In a normal distribution, what z-score cuts off the top 15% of the distribution?

A: We will use Standard Normal table to determine the required z-score.

Q: The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer.…

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Q: Suppose we have a normal distribution N(2, 4), using the Empirical rule, what proportion of data is…

A: Givenwe have a normal distribution N(2,4)Mean(μ)=2variance(σ2)=4standard deviation(σ)=4=2

Q: What is the probability of randomly selecting a z-score greater than z- -0. 75 from a normal…

A: The standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: Transforming an entire distribution of scores into z-scores will not change the shape of the…

A: A z-value is simply the standardization of the raw values in terms of how many number of standard…

Q: This is a Statistics problem.  Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the…

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Q: What is the relation between probability and normal distribution?

A: The normal distribution is a continuous probability distribution. The normal distribution also known…

Q: The sampling distribution of the different between diastolic blood pressure readings for men and…

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Q: What is the distribution of X? What is P[X = 2]?

A: The moment generating function is defined as MX(t) = E(etx) = Σetx.P(X = x)

Q: What happens to the t-distribution as the sample size increases?

A: As we know that the t-distribution is affected by the sample size. As sample size increases the…

Q: What is the probability of randomly selecting a z-score less than z = -0.25 from a normal…

A: Given that, Z score = -0.25 (Left tailed)

Q: If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the…

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Q: 2. On an easy test, the mean test score is greater than median test score. The distribution of the…

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Q: Find the probability for a normal distribution p(-0.80

A: In given question does not mention that Z is either &lt; or &gt; Now , I'm going to solve for the…

Q: The average oversea tip cost is $2708 per visitors. If we assume a normal distribution with a…

A: Given DataMean = 2708Standard deviation = 405

Q: A normal distribution has μ = 9 and σ = 2. What is the probability of a score greater than 6 from…

A: Given that: μ = 9 and σ = 2

Q: Which side will the tail be for -0.4 z score for normal distribution?

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Q: An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given…

A: According the provided information, the sample size, n is 50 and the probability, p is 0.7. The mean…

Q: In the Standard Normal Distribution, what is the probability of getting a z-score between -.54 and…

A: We have given that a standard normal distribution with z-scores -0.54 and 1.68.