(a) What is the probability that the large-cap stock fund has a return of at least 22%?…………………………………………………………………..It is given that the average return for a large-cap domestic stock fund is 14.4% with a standard deviation of 4.4%. Of concern is the probability that the return is at least 22%. Before proceeding, it is best practice to convert the given percentages to decimal values by dividing each by 100%. As decimal values, the large-cap stock fund return of 22%22%becomes= 0.22, the mean is 22X100%x , the standard deviation is 2.2Enter a number.Let x represent the return on an individual large-cap domestic stock fund. The probability that this is at least 22% results in the probability statement:P(x✓ ✓0.22).

Mean=14.4%standard deviation=4.4%As the large-cap stock fund return of 22% becomes 0.22

Answered: (a) What is the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard deviation is 3.4∘3.4∘, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY between 12.56∘12.56∘ and 23.44∘23.44∘ is at least %.
The number of days ahead of their trip that travelers purchase their airline tickets can be modeled as an exponential distribution with a mean of 12 days. a. Determine the probability that a traveler will purchase their ticket less than 25 days before their trip Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 77 percentile number of days by which travellers make an advance purchase of their tickets. Answer in exact fraction, or rounded to at least 4 decimal places. days
4. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. What is the probability that there are no calls within a 30-minute interval?
Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaire to new customers to measure their desire to take financial risks. The scores on the questionnaire are approximately normally distributed with a mean of 50 and a standard deviation of 14. The customers with scores in the bottom 15% are described as "risk averse." What is the questionnaire score that separates customers who are considered risk averse from those who are not? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 6, 2.7, 3.3, 5.6, 3.7. Calculate the standard deviation of the sample. Note: the numbers may be different from the last problem. (please express your answer using 2 decimal places)
If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what is your salary if you know that the mean salary is $48,000 and it has a standard deviation of $5500?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The average student loan debt for college graduates is $25,650. Suppose that that distribution is normal and that the standard deviation is $14,350. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.b Find the probability that the college graduate has between $28,800 and $41,400 in student loan debt. c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: $ High: $
A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 19 days yields the following return percentages. 0.28, 1.92, -1.2, 2.78, 1.97,-0.57, 1.46, -0.93, 0.58,-1.41, -1.15, 0.01, -1.49, −0.94, 1.73, 2.07, -0.83, 1.44, -2.28 Send data to calculator If we assume that the returns are normally distributed, find a 90% confidence interval for the mean daily return on this stock. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: 0 Upper limit: 0 X

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS