A certain function is normally distributed with a mean of 8 and a standard deviation of...

A certain function is normally distributed with a mean of 8 and a standard deviation of 2.

A) What percentage of observation will be less than 5?

B) What percentage of the observation will be greater than 12?

C) What percentile of the observation corresponds to 2?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Let X be normally distributed with mean μ = 18 and standard deviation σ = 8....

Let X be normally distributed with mean μ = 18 and standard deviation σ = 8. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(8 ≤ X ≤ 16). (Round "z" value to 2 decimal places and final...

a. A population is normally distributed with a mean of 16.4 and a standard deviation of...

a. A population is normally distributed with a mean of 16.4 and a standard deviation of 1.4. A sample of size 36 is taken from the population. What is the the standard deviation of the sampling distribution? Round to the nearest thousandth. b. A population is normally distributed with a mean of 15.7 and a standard deviation of 1.4. A sample of size 24 is taken from the population. What is the the standard deviation of the sampling distribution? Round...

Suppose a random variable X is normally distributed with mean 69.8 and standard deviation 8. Answer...

Suppose a random variable X is normally distributed with mean 69.8 and standard deviation 8. Answer the following questions: P(55.40 < X < 74.60) = [round to 4 decimal places] Tries 0/5 P(X ≤ 62.60) = [round to 4 decimal places] Tries 0/5 P(X = 74.60) = [round to 4 decimal places] Tries 0/5 Suppose a is such that: P(X ≤ a) = 0.51. Then a = [round to 2 decimal places] Tries 0/5 What is the IQR (inter-quartle range) of...

If X is normally distributed with a mean of 30 and a standard deviation of 2,...

If X is normally distributed with a mean of 30 and a standard deviation of 2, find P(30 ≤ X ≤ 33.4). a) 0.455 b) 0.855 c) 0.955 d) 0.555 e) 0.755 f) None of the above

X is normally distributed with a mean of -9.74 and a standard deviation of 0.27. a....

X is normally distributed with a mean of -9.74 and a standard deviation of 0.27. a. Find the value of x that solves P(X ≤ x)= 0.25 b. Find the value of x that solves P(X > x)= 0.20 c. Find the value of x that solves P(x <X ≤ -9.70) = 0.20 d. Find the value of x that solves P(-9.74 < X ≤x) = 0.35

Suppose that X is normally distributed with a mean of 50 and a standard deviation of...

Suppose that X is normally distributed with a mean of 50 and a standard deviation of 12. What is P(X ≥ 74.96) a) 0.481 b) 0.019 c) 0.981 d) 0.024 e) 0.020 f) None of the above

Assume that X is normally distributed with a mean of 5 and a standard deviation of...

Assume that X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x P(-x < X-5 < x) = 0.99 Can someone please explain in detail how to solve it with the help of the Cumulative Normal Distribution Table? Thanks!

1. A population is normally distributed with a mean of 18 and a standard deviation of...

1. A population is normally distributed with a mean of 18 and a standard deviation of 2.5. What is the probability of randomly selecting one item from the population having: a) A value greater than 18. b) A value between 14 and 21.

Assume that a population is normally distributed with a mean of 100 and a standard deviation...

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

scores on the test are normally distributed with a mean of 76.4 and a standard deviation...

scores on the test are normally distributed with a mean of 76.4 and a standard deviation of 8.9. round answer nearest whole number. A. top 90% to 100% of scores b. scores below the top 90 % and above top 70% c. scores equal or below 70%and above the bottom 30% d. scores equal or below 30% snd above bottom 10%

Subjects