Question: Suppose x is a normally distributed random variable with = 50 and = 3. Find a value of the random variable, call it

Suppose x is a normally distributed random variable with μ = 50 and σ = 3. Find a value of the random variable, call it x0, such that
a. P(x ≤ x0) = .8413
b. P(x > x0) = .025
c. P(x > x0) = .95
d. P(41 ≤ x ≤ x0) = .8630
e. 10% of the values of x are less than x0.
f. 1% of the values of x are greater than x0.

Step by Step Solution

★★★★★

3.42 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The random variable x has a normal distribution with u 50 and o3 a b Px 1050 3 2X10 8413 A A 196 50 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

766-S-J-P-D (1651).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Given that x is a normally distributed random variable with a mean of 60 and a standard deviation of 10, find the following probabilities. a. P(x > 60) b. P(60

Given that x is a normally distributed random variable with a mean of 28 and a standard deviation of 7, find the following probability a. P(x

If X is a normally distributed random variable with mean 120 and standard deviation 44, find a value x such that the probability that X will be less than x is 0.56.

Suppose x is a normally distributed random variable with = 3 2 and = 5 find a value x 0 of the random variable x that satisfies the following equations or statements A . p ( x x 0 B . p ( x > x 0 C ....

Suppose x is a normally distributed random variable with = 30 and = 8. Find a value x0 of the random variable x such that a. P(x x0) = .5 b. P(x x0) = .10 d. P(x > x0) = .95

Suppose x is a normally distributed random variable with =33 and =5. Find a value x0 of the random variable x. a. P(xx0)=.5 b. P(x x0)=.10 d. P(x>x0)=.95

Suppose x is a normally distributed random variable with =28 and =7. Find a value x0 of the random variable x. a. P(xx0)=.5 b. P(x x0)=.10 d. P(x>x0)=.95

Suppose x is a normally distributed random variable with = 52 and = 4. Find a value xo of the random variable x that satisfies the following equations or statements. a. P(xx0)=0.8413 b. P(xx)=0.025...

1. Timber beams are widely used in home construction. When the load (measured in pounds) per unit length has a constant value over part of a beam, the load is said to be uniformly distributed over...

Suppose x is a normally distributed random variable with = 36 and o=5. Find a value xo of the random variable x that satisfies the following equations or statements. a. P(x x) = 0.8413 b. P(x>xo) =...

A spring of force constant k = 8.4 103 N/m is compressed by 0.10 m. It is placed into a vessel containing 1.0 kg of water and then released. Assuming all the energy from the spring goes into heating...

What would the balloon payment be on a $250,000 5/25 mortgage at a rate of 6% APR with monthly compounding?

Two-sample t confidence interval. Assume x1 = 100, x2 = 120, s1 = 10, s2 = 12, n1 = 50, and n2 = 50. Find a 95% confidence interval for the difference in the corresponding values of using the second...

f sxd x4 2 3x3 1 16x Find the first and second derivatives of the function.

The data file Housing Starts shows private housing units started per thousand persons in the U.S. population over a period of 24 years. Describe the data with a graph.

Earnings per share of a corporation over a period of 28 years are stored in the data file Earnings per Share. Graph the series and comment on the plot.

Use the Quick Guide to find an approximate number of classes for a frequency distribution for each sample size. a. n = 47 b. n = 80 c. n = 150 d. n = 400 e. n = 650

Traditionally business entities were perceived to be responsible for their financial performance and that the principal stakeholders were the owners (shareholders). However, views are changing; it is...

Question 12 (1 point) Sweet Company applies overhead to jobs on the basis of 125% of direct labour cost. If Job 107 shows $10,000 of manufacturing overhead applied, how much was the direct labour...

Refer to the following mentioned data. (In millions) 2017 2016 2015 Net sales $ 34,487 $ 30,570 $ 26,899 Cost of products sold 14,701 13,805 13,515 Gross margin $ 19,786 $ 16,765 $ 13,384 Required:...