Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Find the probability that follows Binomial distribution.

The following four problems refer to the following information:

Colourblindness is any abnormality of the colour vision system that causes a person to see colours differently than most people or to have difficulty distinguishing among certain colors.

Colourblindness is gender-based with the majority of sufferers being males.

Roughly 8 percent of white males have some form of colour blindness, while the incidence among white females is only 1 percent.

A random sample of 20 white males and 40 white females was chosen.

Let X be the number of males (out of the 20) who are colourblind.

Let Y be the number of females (out of the 40) who are colourblind.

Let Z be the total number of colourblind individuals in the sample (males and females together).

1.  Which of the following is true about the random variables X, Y, and Z?

a.X is binomial with n = 20 and p = .08.

b.Y is binomial with n = 40 and p = .01.

c.Z is not binomial.

d.All of the above are true.

e.Only (a) and (b) are true.

2. What is the probability that exactly 2 of the 20 males are colourblind? (Note: Some answers are rounded.)

a. .08

b. .2711

c. .0143

d. .5422

e. .0159

3.  What is the mean of Z, the expected total number of individuals (males and females) who are colorblind? (Hint: Express Z in terms of X and Y and then apply rules for means.)

a. .4

b.1.6

c. 2

d. 2.7

e. The mean of Z cannot be determined.

4. Which of the following is true regarding the random variables X and Y?

a.Both X and Y can be well-approximated by normal random variables.

b.Only X can be well-approximated by normal random variable.

c.Only Y can be well-approximated by normal random variable.

d.Neither X nor Y can be well-approximated by a normal random variable.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M923277

Have any Question? 


Related Questions in Statistics and Probability

Suppose that x is a continuous random variable with pdf fxx

Suppose that X is a continuous random variable with pdf fx(x) = (lambda/2)e-lambda(abs(x)) for -infinity (question also attached for clarity)

Plot four different regression graphs x v y tomatometer v

Plot four different regression graphs (X v Y): Tomatometer v Audience, Budget v Gross, Budget v Tomatometer, Audience v Gross and find the best-fit line equation and correlation coefficient (r-value) for each one. X repr ...

Relate the content of this video to the industry segment of

Relate the content of this video to the Industry segment of the external environment by describing which of Porter's Five Competitive Forces is the focus of Outsell Consulting's value proposition? What is the nature of t ...

Uncertain scenario-maximizing the meanthe potential

Uncertain Scenario-Maximizing the Mean The potential revenues of all projects are in fact uncertain. The company determines that the revenue for project 1 is following a uniform distribution ranging from $1,200,000 to $2 ...

1 if the calculated value of t is less than the critical

1. If the calculated value of t is less than the critical value, do you reject or fail to reject the null hypothesis? Explain. 2. If you reject the null hypothesis (and conclude that the independent variable has an effec ...

An economist wants to estimate the mean per capita income

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $23.8, and the standard deviation is known to be $8.9. How large of a sam ...

If the results of a t-test lead you to reject the null

If the results of a t-test lead you to reject the null hypothesis, what is the probability that you have made a Type II error?

The mean sat score in mathematics is 515 the founders of a

The mean SAT score in mathematics is 515 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course ...

Assume that you want to construct a 95 confidence interval

Assume that you want to construct a 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the 95% confidence interval. The sample st ...

1 prove that if v is the minimax representation of a

1. Prove that, if v is the minimax representation of a strategic-form game, then v must be superadditive. 2. Suppose that there are three firms producing the same product. Firm 1 is a small firm and can produce either ze ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro