A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y

Question:

A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y that has a normal distribution.

a. Find the values of p for which:

i. Approximating X by Y can be justified

ii. Var(Y) < 45.

b. Find the range of values of p for which both the approximation is justified and Var(Y) < 45.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 14, 2021 02:11 AM

See More Questions

Find all values of t for which det(t I3 - A) = 0 for each of the following: (a) (b) (c) (d) 001 440 100 A=[-3-2 0 0 3 3 A=10 0 6-11 6 A=10 0 3 1-3
Find all values of k for which 2k2 112
Find all values of k for which the following homogeneous systems of linear equations have a nontrivial solution: (a) x + k y = 0 kx + 4y = 0 (b) x1 + kx2 + 4x3 = 0 kx1 + X2 + 2x3 = 0 2x1 + kx2 +8x3 =...
Use the present value tables in Appendix A and Appendix B to compute the NPV of each of the following cash inflows. a. $89,000 received at the end of six years. The discount rate is 4 percent. b....
Chemical equations can also be used to represent physical processes. Write a chemical reaction for the freezing of water, including the proper phase labels.
Tennessee Tonic makes a high-energy protein drink. The selling price per gallon is $7.20, and variable cost of production is $4.32. Total fixed cost per year is $316,600. The company is currently...
What would you call two theories of the policy process? Please describe. LO.1
Yahoo! Inc.s recent financial statements contain the following selected data (in thousands). Current assets ...........$ 4,594,772 Total assets ............ 14,936,030 Current liabilities ............
Swifty University sells 4,100 season basketball tickets at $240 each for its 15-game home schedule. Give the entry to record (a) the sale of the season tickets and (b) the revenue recognized by...
The Terminus Hotel, a 200-room facility located in a medieval city in Southern Spain. As consequence of poor management and old-fashioned interior design. the hotel experienced slumping demand since...
At a store, it is known that 1 out of every 9 customers uses a gift voucher in part-payment for purchases. A randomly selected sample of 72 customers is taken. Use a suitable approximation and...
A fair eight-sided die is numbered 2, 2, 3, 3, 3, 4, 5 and 6. The die is rolled up to and including the roll on which the first 2 is obtained. Let X represent the number of times the die is rolled....
Write a description of each set. S = {Bashful, Doc, Dopey, Grumpy, Happy, Sleepy, Sneezy}
X 18. State the amplitude and period of: y = -4cos Graph one cycle of the function. 4 1 19. State the amplitude and period of: y = -sin(4x) Graph one cycle of the function. 4
Explain ways in which an organisation may overcome security vulnerabilities and issues?
A nonpipelined system takes 300ns to process a task. The same task can be processed in a 4-stage pipeline with a clock cycle of 50ns. Determine the speedup ratio of the pipeline for 400 tasks. What...
Within an orthodontic practice that I work in, insufficient patient care and poor time management are the most significant issues in the office. Beginning with the receptionists, scheduling...
How has the decision been improved with more of a focus on financial information? Why would it have been a better decision? How could you have included more financial information and where might it...
Walters Audio Visual, Inc., offers a stock option plan to its regional managers. On January 1, 2021, 40 million options were granted for 40 million $1 par common shares. The exercise price is the...
According during to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,088 in 2018. Consider the population of "last-minute" filers who mail...
An engineer wants to determine the effect of temperature on battery voltage. In particular, he is interested in determining if there is a significant difference in the voltage of the batteries when...
Search a newspaper, magazine, or other periodical that describes an experiment. Identify the population, experimental unit, response variable, treatment, factors, and their levels?
In their book SuperFreakonomics, authors Steven Levitt and Stephen Dubner describe the research of behavioral economist John List. List recruited customers and dealers at a baseball-card show to...
Be prepared to explain the texts comprehensive To illustrate the issues related to interest capitalization, assume that on November 1, 2016, Shalla Company contracted Pfeifer Construction Co. to...
On April 1, 2020. Indigo Company received a condemnation award of $473,000 cash as compensation for the forced sale of the company's land and building, which stood in the path of a new state highway....
The market price of a stock is $24.55 and it is expected to pay a dividend of $1.44 next year. The required rate of return is 11.23%. What is the expected growth rate of the dividend? Submit Answer...

A student wishes to approximate the distribution of X ~B(240, p) by a continuous random variable Y

Question:

Step by Step Answer:

Solution a 1 6 p 54 b 1 p6 p 53 37 X 6 3...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions