Question: Suppose x is a normally distributed random variable with = 11 and = 2. Find each of the following: a. P(10 x

Suppose x is a normally distributed random variable with μ = 11 and σ = 2. Find each of the following:
a. P(10 ≤ x ≤ 12)
b. P(6 ≤ x ≤ 10)
c. P(13 ≤ x ≤ 16)
d. P(7.8 ≤ x ≤ 12.6)
e. P(x ≥ 13.24)
f. P(x ≥ 7.62)

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b C 1211 P050 z 050 A1 A2 1915 1915 3830 P10 x12P 10 11 2 P6x10P SIS p611s 1011 P250 05... 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 (1650).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 11 = 14 and o = 2. Find each of the following probabilities. a. P(x218) b. P(xs'|2.5) c. P(15.54sxs18.58) d.P(9.1esxs16.7s) a Click here to...

1. Finding probabilities for standard normal distributions(z)4.85 & 4.872. Finding z-values 4.88, question a, b, d and e only. 4.89, Question a and b only. Finding probabilities for general normal...

I need it with explanation Im confused 3. Suppose x is a normally distributed random variable with p = 14 and c = 3. Find each of the following probabilities. P(x 2 13.5) = P(14.3 S x 5 18.22) = P(x...

8 10 pts Let X be a normally distributed random variable with = 100 and = 10. Find the probability that X is between 70 and 110. (Round your answer to the nearest whole number percent and include the...

Suppose x is a normally distributed random variable with u = 33 and 5 = 5. Find a value xO of the random variable x. a. P(x2x0)=.5 b. P(X Xo)=-10 Table of Normal Curve Areas d. P(X>X0)=.95 Q Click...

2. Suppose X is a normally distributed random variable with a mean of 50 and a standard deviation of 2. Find the associated X-value for each of the following z-scores a. z = 1.28 b. z = 5.66 C. 230...

Suppose x is a normally distributed random variable with p = 11 and o =2. Find each of the following probabilities. a. P(x 2 12.5) b. P(x =7) c. P(11.48sx= 16.2) d. P(6.04 s x = 14.58) Click here to...

The partnership had made a loss of $6000 in the previous year. (equal partners) Both partners had been members of the Navy Reserve for the current year and the previous years and had each received...

The points (2,1,-5), (1, 2, 11), and (3, 3, 4) lie on a unique plane. Use linear algebra to find the equation of the plane and then determine where the line crosses the z-axis. Equation of plane (use...

Question 5 Firms are legally required to pay dividends to stockholders just as they must make interest payments to lenders. True False Clear selection

Gsrd sr 1 s3 r Find the first and second derivatives of the function.

Market shares for a period of 14 months for various Internet providers are contained in the data file Browser Wars. a. Use a time-series plot to graphically display the worldwide market shares of IE,...

Select annual returns on a stock market index over 14 years from the Internet. Graph the data with a time-series plot.

The data file Gold Price shows the year-end price of gold (in dollars) over 14 consecutive years. Graph the data with a time-series plot.

Morcy Company has fist completed its first year of operations. The company's absorption costing income statement for the year appears below: The company's selling and administrative expenses consist...

Knott Corporation borrowed $ 9 9 , 0 0 0 from Hamilton Bank on August 1 of the current year, signing a nine - month not payable with 4 % interest to be paid at the conclusion of the note when the...

Factory Overhead Rates, Entries, and Account Balance Sundance Solar Company operates two factories. The company applies factory overhead to jobs on the basis of machine hours in Factory 1 and on the...