Analyze and solve the following problems on the applications of probability normal distribution. The scores on a nationwide mathematics aptitude exam are normally distributed, with µ = 80 and σ = 12.

Q: We have provided a normal probability plot of data from a sample of a population. In each case,…

A: The normal probability plot of data from a sample of a population is given. Requirement for normal…

Q: 1A bank manager claimed that each saving account customer has several credit cards. The following…

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Q: Find the mean of the following probability distribution? 0 0.2172 1 0.2251 2 0.2099 3 0.1216 4…

A: Given data, x P(x) 0 0.2172 1 0.2251 2 0.2099 3 0.1216 4 0.2262   Mean=?

Q: We have provided a normal probability plot of data from a sample of a population. In each case,…

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Q: The scores on a nationwide mathematics aptitude exam are normally distributed, with µ = 80 and σ =…

A: As per guideline expert have to answer first question only dear student please upload other subparts…

Q: smoke cigarettes is 0.39.

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Q: Determine the mean, variance and standard deviation of the probability distribution following Number…

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Q: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday moming is shown below.…

A: We have given that x P(x) 0 0.15 1 0.20 2 0.30 3 0.10 4 0.20 5 0.05

Q: Find the mean of the following probability distribution? (x) P(x) 0 0.2172 1 0.2251 2 0.2099 3…

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Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: As per our guidelines we are suppose to answer three sub parts. Given,sample…

Q: Let's assume that your sample mean and sample standard deviation are the true population mean and…

A: We have given that Mean= µx̅ = µ = 2560Standard deviations (σx̅ ) =  634.60

Q: The number of sales varies by day from 0 to 5 and is given by the following probability…

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Q: For a standard normal distribution, determine the following probabilities. a) P(D1.43) b) P(D-0.40)…

A: a)P(z>1.43)=?

Q: Find the mean, variance, and standard deviation for the probability distribution given below:   X -3…

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Q: I. Find the variance and standard deviation of each probability distribution below. 1. 2 3 P(X) 0.1…

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

Q: The following table represents the number of free throws a typical NBA player makes in three…

A: Solution

Q: Find the mean, variance, and standard deviation. ( Use both methods)

A: Answer: Mathematical Expectation EX: Let X be a discrete random variable taking values…

Q: A probability distribution of the claim sizes for an auto insurance policy appears in the following…

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Q: hich of the following is most likely to be close to a normal distribution, and why? A. The number…

A: To determine the most likely to be close to a normal distribution

Q: 1. Does each of the following tables represent a probability distribution? Explain why or why not.…

A: Given that : Random variable x and their pdf  is given .  By using the properties of probability…

Q: Analyze and solve the following problems on the applications of probability normal distribution.…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 100 and…

Q: The following are the means and standard deviations of some well-known standardized tests, referred…

A: 1. Given that  Test Mean Standard Deviation A 500 100 B 150 8 C 70 15   A score of 450…

Q: Your company, Sonic Video, Inc., has conducted research that shows the probability distribution,…

A: As per our guidelines we are suppose to do only first question

Q: Given the following relative-frequency table for the probability distribution of X, what are the…

A: The expected value is, μ=Ex=∑xPX=x=2×0.36+4×0.08+6×0.54+8×0.02=0.72+0.32+3.24+0.16=4.44 Thus, the…

Q: We have provided a normal probability plot of data from a sample of a population. In each case,…

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Q: The test scores of a physics class with 800 students are distributed normally with a mean of 75 and…

A: Given Information: The test scores of a physics class with 800 students are distributed normally…

Q: 7. What type of statistical test should be used when the population is approximately normally…

A: When Population is normally distributed and population standard deviation is known we use the Z…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

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Q: The Sarasota Police department collected data on the number of car accidents ( X ) that occur each…

A: ∈X=ΣX. PX

Q: Compute the mean, variance, and standard deviation of the probability distribution given on the…

A: Given, Probability distribution table is

Q: In the following distribution table, the probability of the random variable Y taking the values…

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Q: The number of jackets sold per week at a boutique shop is shown in the table, with the corresponding…

A: Given: Probability distribution table for number of jackets sold per week. The mean is obtained as…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Given:…

Q: In the following case, do you think the sample size is large enough to use the normal distribution…

A: Conditions for normal distribution: np≥5 n(1-p)≥5   Given information: n = 59 and p = 0.23

Q: What is the standard deviation of the probability distribution below? x P(X = x) 10 .27 20 .28 30…

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Q: The following data are the number of hours spend by a student who plays online games for a week.…

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Q: Given a normal distribution with μ=45 and σ=5​,   What is the probability that X<40​?   ​P(X<40​)=

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 5 X~N (45, 5)

Q: The following table represents the number of free throws a typical NBA player makes in three…

A:

Q: For a normal distribution with µ = 500 and σ = 100, find the following values:           a.   What X…

A: Solution: Let X be the score. From the given information, X follows normal distribution with mean…

Q: Find the mean, variance and standard deviation for the probability distribution given below:   X…

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Q: The number of adults living in homes on a randomly selected city block is described by the following…

A: Formula Used: Standard deviation σ = SD(x) =  Var(x) Where, Var(x) = variance of x Var(x) =…

Q: The scores on a standardized mathematics test for 8th-grade children in New York State form a normal…

A: Given data, μ=70σ=10

Q: 2. The Bank of America VP feels that each savings account customer has, on average, three credit…

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Q: Consider the distribution table below x                5      10   15    20  P ( X = x ) 0.5   0.2…

A: Properties for discrete probability distribution:

Q: D. The mean annual cost to attend a attend a college is $44,324. Assume the distribution of annual…

A: Given: Mean, μ=44324 Standard deviation, σ=4590 To calculate: 90% of all students pay less than what…

Q: Find the mean, variance and standard deviation for the probability distribution given below: X…

A: Given X -5 2 12 10 P(X) 0.553 0.136 0.213 0.098

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

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Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Given information is Mean annual salary(μ)=$178000standard deviation(σ)=$39000random sample(n)=36

Q: The county highway department recorded the following probabilities for the number of accidents per…

A: Mean: The mean is the sum of observations divided by the number of observations. that is,…