A normal distribution has a mean of 20 and a standard deviation of 10. Two scores are sampled randomly from the distribution and the second score is subtracted from the first. What is the probability that the difference score will be greater than 5?

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 math test has a normal distribution with an average of 100 and a standard deviation of 12. What is…

A: Given information Population mean µ = 100 Standard deviation σ = 12 We have to find the probability…

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: The distribution of the heights of 0/1 18- year-old girls may be modelled by the normal distribution…

A:

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a…

A: Given that, Mean = 85 Standard deviation = 12 Sample size, n = 15

Q: In a college entrance exam, the average score of 1,000 test takers is 150 with a standard deviation…

A:

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

A:

Q: If the mean is zero and the standard deviation is one in a normal distribution, what type of normal…

A: We know that if the normal distribution has 2 parameters as mean, μ and standard deviation, σ, where…

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…

A:

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 normal distribution has a mean of µ = 54 and a standard deviation of σ = 6. What is the…

A:

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

A:

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Let X be a continuous random variable is normally​ distributed with a mean of 150 and a standard…

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: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 50…

A: The random variable X is defined as the student will have a raw score which follows normal…

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

A:

Q: A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this…

A: According to the provided information,

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 68% of…

A: given data normal distribution population mean  = 600 population sd = 20

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

A:

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The average number of dropouts for a school district has been 305 per year, with a standard…

A: Mean = 305 s = 50

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

A:

Q: A normal distribution has a mean 80 and standard deviation is 10. What is the probability of…

A: Given:    µ = 80     σ = 10

Q: It is estimated that the weight of a box of cereal follows a normal distribution with a mean of 23.8…

A: Solution: Let X be the weight of a box of cereal. From the given information, X follows normal…

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: In a Scrabble tournament, the scores were normally distributed and the mean score was 420.2 points…

A:

Q: The quality grade-point averages of 300 college freshmen follow approximately a normal distribution…

A:

Q: The normal model applies to the productivity of all workers at a factory, with a mean of 75 units…

A:

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

A: The sample size is, n = 36 The values of mean and standard deviation of the sampling distribution…

Q: In a Scrabble tournament, the scores were normally distributed and the mean score was 420.2 points…

A:

Q: In a large population of adults, IQ scores are said to be normally distributed with a mean of 115…

A:

Q: The weekly salaries of a group of employees are normally distributed with a mean of $800 and a…

A:

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: What is the probability of selecting a sample of n=16 scores with a mean greater than M=56?

A: Let , X→N(μ=55 , σ=6) , n=16 Our aim is to the probability of selecting a sample of n=16 scores with…

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

A:

Q: If a normal distribution has a mean of 10 and a standard deviation of 2, then what is the likelihood…

A:

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

A: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6. Sample size, n = 4

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

A: GivenMean(μ)=72standard deviation(σ)=12

Q: The random variable X has a uniform distribution with values between 13 and 21. What is the mean?…

A: Given,A random variable X~U(a=13 , b=21)f(x)=1b-a; a≤x≤bf(x)=121-13f(x)=18  ;  13≤x≤21

Q: How would I work this problem out? Thanks

A: It is provided that X follows normal distribution with mean = 300 and standard deviation = 30.Let…

Q: The mean of a normal probability distribution is 440, the standard deviation is 8 a. About 68% of…

A: As per Empirical rule, About 68 Percent of the data lies within one standard deviation from mean,…

Q: A normal distribution has a mean of µ = 40 with σ = 8. If one score is randomly selected from this…

A: A normal distribution has a mean of µ = 40 with σ = 8.

Q: The average number of moves a person makes in his or her lifetime is 12. If the standard deviation…

A: Given,   Mean = 12 Standard deviation = 3.2 Sample size = 30

Q: A normal distribution has a mean of 150 and a standard deviation of 50. Calculate the probability we…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.