Question: For a family with two children, let A denote {first child is female}, let B denote (at least one child is female}, and let C

For a family with two children, let A denote {first child is female}, let B denote (at least one child is female}, and let C denote {both children are female}.
a. Show that P(C | A) = 1/2.
b. Are A and C independent events? Why or why not?
c. Find P(C | B).
d. Describe what makes P(C | A) different than P(C | B).

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a PC A PC and APA 02505 05 b These are not independent e... 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)

531-M-S-P (3408).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

IBS is a global provider of point-of-sale systems and related services that enable businesses to accept electronic payments. As a new hire in the companys international headquarters accounting...

What is the probability that in a family with two children, both siblings are affected? Genetics Suppose that a disease is inherited via a dominant mode of inheritance and that only one of the two...

Construct a probability distribution for a family with 4 children. Let X be the number of girls.

Each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. a. Explain why the three...

How to figure out solving this statistics assignment STAT 3011, Fall 2021 b) The table above was based on an entrance poll of 1,660 democratic delegates to the Iowa caucus. Delegates were asked their...

Question 2 For a family with two children, let A denote {rst child is female}, let B denote {at least one child is female}, and let C denote {both children are female}. a) Show that P(C|A) = 1/2. b)...

For a course with two sections, let A denote \{first section is online\}, let $B$ denote \{at least one section is online\}, and let $\mathrm{C}$ denote \{both sections are online\}. Suppose...

5.45 Online sections For a course with two sections, let A denote {first section is online}, let B denote (at least one section is online}, and let C denote {both sections are online}. Suppose P (a...

please answer this not process need it. 1) Tony is looking for the best deal on a refrigerator that has a wholesale price of $649. Help him compare the price of the refrigerator at two different...

\f 134 THE BIG SQUEEZE munications Workers of America that has sought to unionize high"tech workers. "They hire whomever Microsoft tells them to put on their payroll. Then they p~ocess their...

The adjusted trial balance for the Sarah & Suhairi Partnership for the year ended 31 March 2021 is as follows: SARAH & SUHAIRI PARTNERSHIP Adjusted Trial Balance as at 31 March 2021 Debit (RM)...

Consider a consumer price index whose base year is 2002. 1. The value of the CPI in 1977 (the year in which I graduated from high school) was 33.6. What can we conclude relative to the base year? 2....

code class = "asciimath" > 6 : If a certain weight of an alloy of copper and gold is mixed with 6 Kg of pure gold, the resulting alloy will have 9 0 0 % gold by weight. if the same weight of initial...

Briefly explain mortgage securitization and how it contributed to the global economic crisis. Assume that you recently graduated and have just reported to work as an investment advisor at the...

The questions in this exercise give you an appreciation for the complexity of budgeting in a large multinational corporation. To answer the questions, you will need to download the Procter & Gamble...

In 2010, Leppard Inc. issued 1,000 shares of $10 par value common stock for land worth $40,000. (a) Prepare Leppards journal entry to record the transaction. (b) Indicate the effect the transaction...

The following two reactions take place in a gas-phase reactor: If the system comes to equilibrium at 3000 K and 1 atm, the product gas mole fractions satisfy the relations (a) Let n A0 . . . n E0 be...

Jaffre Enterprises distributes a single product whose selling price is $16 and whose variable expense is $11 per unit. The companys fixed expense is $16,000 per month. Required: 1. Prepare a profit...

If a stock is not in equilibrium, explain how financial markets adjust to bring it into equilibrium.

Final exam regresses toward mean of midterm Let y = final exam score and x = midterm exam score. Suppose that the correlation is 0.70 and that the standard deviation is the same for each set of...

Center of the data Consider the formula a = y - bx for the y-intercept. a. Show that y = a + bx. Explain why this means that the predicted value of the response variable is yn = y when x = x. b. Show...

When correlation slope Consider the formula b = r1sy>sx2 that expresses the slope in terms of the correlation. Suppose the data are equally spread out for each variable. That is, suppose the data...

TP3 LO 9.3 You are considering a $100,000 investment in one of two publicly traded companies in the same industry. Review the last three annual financial statements (same fiscal year) for two...

Correct answers: 10512.71 & 11162.78 For the period from time 0 to time 2, the force of interest is defined as follows: delta_t = {.05 for 0

Use the 2016 marginal tax rates to compute the tax owed by the following couple. A married couple filing jointly with a taxable income of $371,000 and a $7000 tax credit Click the icon to view the...