Question: If a continuous random variable, x, is normally distributed with a mean of 100 and a standard deviation of 15: a. What is the probability

If a continuous random variable, x, is normally distributed with a mean of 100 and a standard deviation of 15:

a. What is the probability that x = 100? Why?

b. What is the probability that x = 113.56? Why?

Step by Step Solution

★★★★★

3.40 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Mean100 Standard deviation 15 a ZXMean stan... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Statistical Techniques in Business and Economics 1 Questions!

Q:

A random variable X is normally distributed with a mean of 100 and a variance of 100 and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables...

Q:

A random variable X is normally distributed with a mean of 100 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables...

Q:

A random variable X is normally distributed with a mean of 100 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables...

Q:

If a continuous random variable, x, is normally distributed with a mean of 100 and a standard deviation of 15: a. What is the probability that x = 100? Probability es b. What is the probability that...

Q:

Question 7 Not yet answered Marked out of 1.00 \\'7 Flag question A continuous random variable x is normally distributed with a mean of 100 and a standard deviation of 20. Given that x = 120, The...

Q:

The random variable X is normally distributed with a mean of 70 and standard deviation of 10. What is the probability that X is within one standard deviation of the mean? a. 0.683 b. 0.954 c. 0.271...

Q:

The random variable X is normally distributed with a mean of 70 and standard deviation of 10. What is the probability that X is within one standard deviation of the mean?

Q:

Chapter 06, Section 6.2, Problem 024d Letxbe a continuous random variable that is normally distributed with a mean of58 and a standard deviation of10. Find the probability thatx assumes a value less...

Q:

Letx be a continuous random variable that is normally distributed with a mean of58 and a standard deviation of12 . Find the probability thatx assumes a value less than69 . Round your answer to four...

Q:

Letx be a continuous random variable that is normally distributed with a mean of65 and a standard deviation of15 . Find the probability thatx assumes a value less than46 . Round your answer to four...

Q:

(a) How do the currents change if the resistances in the wires in the cubical network in Example 6.4 are all equal to 1 ohm? (b) What if wire k has resistance Rk = k ohms?

Q:

Solve for (A) current ratio, (8) acid test (quick). (C) average day's collection, (D) asset turnover, and (E) profit margin on sales. Round to nearest hundredth or hundredth percent as needed....

Q:

Assume a subsidiary company purchased 10% of the common equity of its parent company on January 1, 20X1. The parent company declared dividends of $10,000 for 20X1. Which of the following is the...

Q:

5. In what ways do some advertisers pathologize the human body? In what ways do some music videos dehumanize women? What are the health implications of these?

Q:

A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and...

Q:

Merrill Lynch recently completed a study regarding the size of online investment portfolios (stocks, bonds, mutual funds, and certificates of deposit) for a sample of clients in the 40 up to 50 years...

Q:

Refer to the following chart: a. What is the name given to this type of chart? b. Suppose that 1,000 graduates will start a new job shortly after graduation. Estimate the number of graduates whose...

Q:

B&B has a new baby powder ready to market. If the firm goes directly to the market with the product, there is only a 60 percent chance of success. However, the firm can conduct customer segment...

Q:

In Illinois, which of the following actions may be taken by a real estate licensee?O A . . C . D . filling in the blanks on a standard form real estate contract completing a bill of sale in a real...

Q:

Suppose we observe the following rates: 1 R 1 = 0 . 5 0 % , 1 R 2 = 1 . 1 5 % , and E ( 2 r 1 ) = 0 . 9 2 9 % . If the liquidity premium theory of the term structure of interest rates holds, what is...