Let X be a random variable that follows the normal distribution with mean 39 and variance 11. Answer the following, rounding your answers to two decimal places. (a) What is the probability that X is greater than 37, P(X > 37)? (b) What is P(28 < X < 38)?

Q: A random variable X follows a Normal Distribution with a mean of 5. It would be logical to say that…

A: It is given than the random variable X follows normal distribution with mean 5, and the objective is…

Q: A sample of size 15 will be drawn from a population with mean 125 and standard deviation 28. a.…

A: a) sample size = 15 &lt; 30 And it is not mention about the distribution of sample. So, It is…

Q: The distribution of wait times for customers at a certain department of motor vehicles in a large…

A: It is given that xw-bar is the sample mean wait time. The sample size is 50.

Q: For a random variable that is normally distributed, with a mean of 80 and standard deviation of…

A:

Q: For a random variable that is normally distributed, with mean of 80 and standard deviation of 10,…

A:

Q: A fish market in Hong Kong offers a large variety of fresh fish on its stands. You have found out…

A: The use of standard normal probability distribution table helps us in ascertaining the percentage of…

Q: The number of people getting sick from imported meat products in a certain city in one month was…

A: Given data,μ=190σ=22P(X&gt;160)=?

Q: The average monthly number of jobs available in Area A is 3, 000. If we assume a normal distribution…

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

Q: The diameter of a pipe is normally distributed, with a mean of 0.3 inch and a variance of 0.0016.…

A: Let us denote X=The diameter of a pipeGiven that X follows a normal distribution with mean=0.3 and…

Q: From past experience, a professor knows that the test score of a student taking her final…

A: Given that the mean is 75 and variance is 25 That is, μ=75σ=25=5

Q: If X is a random variable having a normal distribu-tion, what are the probabilities of getting a…

A:

Q: for a normally distributed random variable X with mean of 177.15 and standard deviation of 4.95 a…

A: It is given that the mean is 177.15 and the standard deviation is 4.95.

Q: let x be a random variable that represents the commute time of teachers in a large urban area. If x…

A:

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

Q: A man height and weight  are nomally distributed with mean u= 70 inches and standard deviation a =…

A:

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given information: X is a random variable follows normal distribution. That means,

Q: In analyzing patient admissions at a hospital it is found that 31,469 patients were admitted in a…

A: Given information- We have given that 31,469 patients were admitted at a hospital in a recent year.…

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: Given that mean =200 ,s.d =16

Q: If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation…

A: Given: X is a normal random variable with standard deviation equals to 10.

Q: 1. The average number of cycles of charging of rechargeable batteries manufactures in a certain…

A:

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: If X is normally distributed with mean 10 and standard deviation 2, what is the probability that X…

A:

Q: Suppose that you take a sample of size 15 from a population that is known to be normally…

A: Solution: Given: Suppose that you take a sample of size 15 from a population that is known to be…

Q: Random samples of size 64 are taken from an infinite population whose mean is 50 and standard…

A: Givensample size(n)=64mean(μ)=50standard deviation(σ)=16

Q: The number of pieces of dog food in a one-cup scoop is approximately Normally distributed with a…

A:

Q: Suppose that a variable has a binomial distribution with nn = 17 and pp = 0.85. What is the expected…

A: The binomial distribution is a discrete probability distribution, which is introduced by James…

Q: If X is distributed as a normal distribution with a mean value of 10 and a variance equal to 3 and Y…

A:

Q: An orange juice producer buys all his oranges from a large orange grove. The amount of juice…

A:

Q: Compute the standard score (Z-score) for x, when x = 42, the mean of the distribution = 26, and the…

A: x = 42Mean = 26Standard deviation = 8

Q: The distribution of the amount of water used per wash cycle, in gallons, by a particular brand of…

A: Given information Mean (µ) = 4 Gallons Standard Deviation (σ) = 0.2 Gallon Probability that more…

Q: 4) The police response to emergency calls x, is normally distributed with mean of 10 minutes and a…

A: From the provided information, Population mean (µ) = 10 Population standard deviation (σ) = 2 Let X…

Q: Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X…

A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

Q: In a human factor experimental project, it has been determined that the reaction time of a pilot to…

A: We have to find probabaility

Q: The fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and a…

A:

Q: 2. For a normal random variable with mean 6.50 and standard deviation 40, find the probability that…

A:

Q: Suppose Z is a normal random variable with a mean of zero and a standard deviation of one. Using…

A: It is given that the Z is a normal random variable with a mean of zero and a standard deviation of…

Q: If the probability that the random variable Z with a standard normal distribution is between the -k…

A: We know, Z follows standard normal distribution, therefore,…

Q: The random variable xx represents the number of emails received at a help desk in one hour, and it…

A:

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given: The random variable X is normally distributed. The population mean is given as:…

Q: In analyzing a patient admissions at a hospital, it is found that 31,469 patients were admitted in a…

A: Determine the standard deviation for the values of x. The standard deviation for the values of x is…

Q: A newborn baby is classified as having Extremely Low Birth Weight (ELBW) if it weighs less than 1000…

A: It is given that the mean is 815 and standard deviation is 100.

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.6…

A: It is given that n=19 and p=0.6.

Q: For a normal population with µ = 60 and σ = 50, the distribution of sample means based on n = 25…

A: Given that, Mean = 60 Standard deviation = 50 Sample size = 25

Q: (a) On a farm, at 20 weeks, the weights of roosters follow an approximately normal distribution with…

A: Given data: mean =  2.16 kg variance = 0.09 kg2

Q: If a continous random variable, x, is normally distributed with a mean of 100 and a standard…

A: Given : X is normally distributed with a mean of 100 and a standard deviation of 15.

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: Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3.…

A: Let Y be the variable that follows normal distribution with mean, μ=30 and standard deviation, σ=3.…

Q: For a random variable X with standard deviation 5, Variance of 2x + 4 is

A: It is given that, Standard deviation of X is 5 Now, The variance of X is =52=25

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.