An amusement park insurance agent wanted to limit the access in the highest roller coaster. No one under 4' 6" (4 feet and 6 inches) in height is allowed to ride. If the average height for visitors is 5' 3" and the standard deviation is 6 inches, what percentage of the population is allowed to ride? Assume that the distribution is normally distributed.

Q: A marketing researcher for a phone company surveys 70 people and finds that the proportion of…

A: Solution: a. From the given information, the proportion of customers who are likely to switch…

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: Given a uniform distribution with endpoints 4 and 22: What is the mean?        What is the…

A:

Q: Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with…

A: Given, Mean, μ = 35.5 Standard deviation, σ = 2.5 We have to find the probability that the rainfall…

Q: For any normal distribution, the mean, median, and mode will have the same value.

A: Our aim is to find the given statement is true of false

Q: Dr. Samwell Tarly wants to estimate the number of books checked out of the library in the past year.…

A: It is given that the mean is 10,000 and the standard deviation is 10.

Q: In a Normal distribution 7% items are under 35 and 89% are under 63. Find its mean and standard…

A:

Q: The chickens at Colonel Thompson's Ranch have a mean weight of 1850 g with a standard deviation of…

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Q: The bank of America's VP feels that each saving account customer has, on average, 3 credit cards.…

A: The bank of America's VP feels that each saving account customer has, on average, 3 credit cards.…

Q: In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. What are the…

A:

Q: If there is a small amount of variation, then the standard deviation is what

A: Standard deviation: It is defined as the positive square root of the variance. It fulfils requisites…

Q: Below is a list of number of dogs owned by families, in a particular neighborhood, find the mean and…

A: According to the given information, it is required to determine the mean and standard deviation.

Q: The standard deviation may not be greater than the mean. O True O False

A: False: standard deviations may be greater than mean  example: random variable x follow standard…

Q: In general, the ______ sample size, the closer the shape of the distribution of sample means is to a…

A: In general, the ______ sample size, the closer the shape of the distribution of sample means is to a…

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation  of scores from mean is always zero.

Q: The heights of 500 students are normally distributed with a mean of 175.5 centimeters and a standard…

A: Givenmean(μ)=175.5standard deviation(σ)=6.5n=500

Q: Click here to view page 2 of the standard normal distribution table. student(s) (Round to the…

A: It is given that  Mean, μ = 117 Standard deviation, σ = 14 Sample size, n = 550 Z-Score, Z = ( X - μ…

Q: . The Fresha Tea Company packs tea in bags marked as 250 grams. A large number of packs of tea were…

A: As per our guidelines we are suppose  to answer only one question1)GivenMean(μ)=255 gramsstandard…

Q: Suppose male heights follow a normal distribution with μ = 178.4 cm and σ = 7.6 cm. What is the 99th…

A: It is given that the male heights follow normal distribution with mean 178.4 cm and standard…

Q: In a normal distribution, what percentage of the area under the curve is within three standard…

A: We have given the following statement about normal distribution.

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: Topic- Probability

Q: If a set of observations is normally distributed, what percent of these differ from the mean by (a)…

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Q: A normal distribution has a mean of 60 and a standard deviation of 20. Barbara's score is 40. What…

A: It is given that the Normal distribution has a mean 60 and a standard deviation of 20.  Suppose X be…

Q: For a normal distribution, the mean is equal to the median. True False

A: The Normal distribution is Symmetric distribution. So,  Mean = Median = Mode.

Q: Use your normal distribution sketch above to determine below what weight should there be…

A: Here use normal table for probability  Here in part 2 graph represents the area in bottom is 0.1587

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: For a normal distribution, the mode represents the second quartile. True/False

A: Given that  We want to tell the a normal distribution, the mode represents the second quartile

Q: The empirical rule relates the standard deviation of a population to the probability of where a data…

A:

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: The random variable X follows normal distribution with mean 50 and standard deviation 10. The…

Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…

A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08   X~ Normal μ, σ2   To…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 400 and a…

A:

Q: On a normal distribution, at what percentage must a. The mean fall? b. The median fall? c. The…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: Nabisco claims that Chip Ahoy Cookies have an x=28.67 per cookie with a SD=2.67. Assuming this…

A: Here, the sample standard deviation is given as 2.67.

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: A quantitative data set has size 50. At least how many observations lie within three standard…

A: The size of the data set is 50.

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X<=65)

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

A: Given that  X~Normal(μ= 590 , σ= 74 )  μ= 590 , σ= 74 , n = 24

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: Given a normal distribution with mean of 80 and standa assumes a value greater than 76 is 0.3085.

A:

Q: The mean, median, and mode of a normal distribution are (Choose one) each other. standardized by…

A: For Normal distribution, mean, median and mode are coincide.

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 600 and a…

A:

Q: According to the Department of Education the mean number of hours college students spend studying…

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Q: The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution…

A: From the provided information, Mean (µ) = $78,000 Standard deviation (σ) = $11,000 Let X be a random…

Q: According to Chebyshev's Rule, at least what percent of observations must be within 2.5 standard…

A:

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of…

A:

Q: The Fresha Tea Company pack tea in bags marked as 250 g. A large number of packs of tea were weighed…

A: Mean = 255g Standard deviation = 2.5g P(X < A) = P(Z < (A - mean)/standard deviation) P(X <…

Q: Use Table B to find the proportion of a Standard Normal distribution that is: below −1.42

A: From the provided information, The distribution is standard normal for which mean is 0 and standard…

Q: You can tell if a distribution is normal because it is Approximately bell-shaped and symmetrical…

A: We have given that the statement about to the normal distribution. Here, need to find out the…