If a normal distribution has a mean of 10 and a standard deviation of 2, then what is the likelihood that someone would get a score of 8 or lower?

Q: An aptitude test that is normally distributed has a mean of 1100 and a standard deviation of 100.…

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Q: What is the probability that your score on an exam will be less than 65, if the mean on the exam is…

A: Let X be a continuous random variable of score on the exam is normally​ distributed with a mean of…

Q: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of…

A: From a normal distribution, Mean = 54 Standard deviation = 6

Q: A normal distribution has a mean of 60 with a standard deviation of 8. If one score is randomly…

A: Let A(x) be the probability that the value of a random variable X is less than or equal to x where X…

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

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Q: If a distribution is normal, then it is not possible to randomly select a value that is more than 4…

A: Given : We have given normal distribution .

Q: a typical adult has an average IQ score of 105 with a standard deviation of 20. If 19 randomly…

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Q: If the standard error (σX) of the mean distribution is 10 and the sample size is 25, then what is…

A: Given information Standard error of the mean distribution = 10 Sample size = 25

Q: The mean of a normal probability distribution is 120 the standard deviation is 10. About what…

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Q: A normal distribution has a mean of 100 and a standard deviation of 15. What is the median for this…

A: Given Mean μ=100, standard deviations σ=15

Q: For normal distribution with a mean of 278 and a standard deviation of 25, what is the Z value for a…

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Q: If a normal distribution has a Mean of 26 and a Standard Deviation of 3.1. Find the probability of a…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: A large group of students took a test in Statistics and Probability and the final grades have a mean…

A: Given: μ=70 and σ=10. The z-score is calculated as-z=x-μσ

Q: A normal distribution is observed from the number of rentals per week for a certain car rental…

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Q: If a distribution is normal with mean 10 and standard deviation 2, then the median is also 10. True…

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Q: What is the probability that your score on an exam will be less than a 60, if the mean on the exam…

A: We have to find probability that your score on an exam will be less than a 60....

Q: The standard deviation of the certain distribution is 9, what is its variance?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: If the mean of the normal distribution is 52 and the standard deviation is 72, what is the…

A: Let X denote the Normal distribution. It is given that mean = 52 and SD = 72, then Z = (X - mean)/SD…

Q: A set of final examination grades in an introductory statistics course is normally distributed, with…

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Q: The distribution of annual returns on common stocks has a mean of 9 percent and a standard deviation…

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Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…

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Q: What proportion of the students scored lower than 80 if the distribution of these grades can be…

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Q: If the scores follow normal distribution with the mean of 84 and a standard deviation of 7, find…

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Q: On the final exam in a large statistics class the average score was 76 with a standard deviation of…

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Q: As the size of a sample increases, the standard deviation of the distribution of sample means…

A: Here  Standard deviation of sample mean = σn

Q: Suppose we have a population with a normal distribution with mean = 50 and standard deviation = 10.…

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Q: A population has a mean of 75 and a standard deviation of 15. If you randomly sample 9 people from…

A: Mean = 75 Standard deviation = 15 Sample size = 9

Q: If a distribution is normal with a mean 12 and a standard deviation 3, then the median is also 12.…

A: Normally distribution is a continuous probability distribution. In normal distribution curve is a…

Q: what is the probability that a randomly selected case falls between 60 and 68? And what is the value…

A: It is given that X follows N(mean = 72, SD = 12), then Z = (X - mean)/SD follows N(0,1)

Q: A population has mean of 150 and standard deviation of 20. What is the probability that a random…

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Q: A population is normally distributed and has a mean of 50 and a standard deviation of 5 If we…

A: As we know the empirical rule of 68 - 95 - 99.7 that is the percent value that are one, two or three…

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: Consider a random variable X which, follows normal distribution, indicates the time to find a…

Q: If mean is 20 and standard deviation is 5, what value of x contain the lowest 20% of the…

A: Solution

Q: If 200 scores a taken at random from a normal distribution with mean 70 and standard deviation 5,…

A: From the given information,  the value of mean is 70, standard deviation is 5 and sample size (n) is…

Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: The mean cost of a five pound bag of shrimp is 50 dollars with a standard deviation of 6 dollars.…

A: Given information Mean (µ) = 50 Standard Deviation(σ) = 6 Sample size (n)= 40 probability that the…

Q: The population average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard…

A: Given,sample size (n)=25sample mean(μ)=21standard deviation(σ)=2.9

Q: Scores on a recent national statistics exam were normally distributed with a mean of 80 and a…

A: Let X denote the national statistics exam and it follows normal distribution with a mean of 80 and a…

Q: University students' blood pressure can be expected to follow a normal distribution with a mean of…

A: Given data,μ=85σ=20If n=4P(X<90)=?

Q: In a Normal distribution, the average is 45 and standard deviation is 12. What is the probability…

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Q: if a distribution is normal, then it is not possible to randomly select a value that is more than 4…

A: It is given that the distribution is normal.

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

A: Given that , mean = μ = 72 standard deviation = σ = 12

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: It is given that the mean length of time taken by a college student to find a parking spot was 3.5…

Q: IQ scores are normally distributed with a mean of 110 and a standard deviation of 2.9. In a sample…

A: For the solution of the problem follow the next step.

Q: If our population follows a normal distribution with mean 50 and standard deviation 3, then what is…

A: Answer -If our population follows a normal distribution with mean  μ =  50 and standard deviation σ…

Q: If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the…

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Q: A normal population has mean μ = 20 and standard deviation σ = 4. What proportion of the population…

A: From the provided information, Mean (µ) = 20 Standard deviation (σ) = 4 X~N (20, 4)