**Transcription:**Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let $ R $ be the random variable counting the number of boys in each outcome. For example, if the outcome is $ bbg $, then $ R(bbg) = 2 $. Suppose that the random variable $ X $ is defined in terms of $ R $ as follows: $ X = R - R^2 - 3 $. The values of $ X $ are thus:\[\begin{array}{|c|c|}\hline\text{Outcome} & \text{Value of } X \\\hlineggg & -3 \\ggb & -5 \\gbg & -5 \\bgg & -5 \\gbb & -9 \\bgb & -9 \\bbg & -9 \\bbb & -3 \\\hline\end{array}\]Calculate the probability distribution function of $ X $, i.e., the function $ p_X(x) $. First, fill in the first row with the values of $ X $. Then fill in the appropriate probabilities in the second row.\[\begin{array}{|c|c|c|c|}\hline\text{Value } x \text{ of } X & & & \\p_X(x) & & & \\\hline\end{array}\]**Diagram Explanation:**The table displays outcomes of the children's genders with corresponding random variable $ X $ values. The task is to find the probability $ p_X(x) $ for each unique $ X $ value by identifying outcomes and their probabilities.

Name: **Transcription:**Suppose that the genders of the three children of a
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: **Transcription:**Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let $ R $ be the random variable

From the given table, X takes values - 3, -5 and -9. Total number of observations is 8. Thus, X take…

Math

Statistics

Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is bbg, then R(bbg) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R-R-3. The values of X are thus: Outcome ggbbbgbgbbbbgbbggggbgbgg Value of -3-5 -5 -9 -5 -3 -3-3 Calculate the probability distribution function of X, I.e. the function py (x). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is bbg, then R(bbg) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R-R-3. The values of X are thus: Outcome ggbbbgbgbbbbgbbggggbgbgg Value of -3-5 -5 -9 -5 -3 -3-3 Calculate the probability distribution function of X, I.e. the function py (x). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Match each random variable expression with either a correct value or correct description. The alien…

A: Please find the solution below. Thank you

Q: Select the appropriate distribution for the random variable X. Group of answer choices X∼Bin(20,0.1)…

A: Given that n = 20 , p = 10% = 0.10 , q = 1 - p = 1 - 0.10 = 0.90 p = Probability of critical hits…

Q: In large corporations, an "intimidator" is an employee who tries to stop communication, sometimes…

A: State the hypotheses. That is, there is no evidence to conclude that population mean time lost due…

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t)…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: compete WIDT store decides Ly sending DVD! obtain data on delivery times when DVDs are mailed to…

A: Given thatA variable "X: denotes the delivery time when a DVD is mailed to a customer.A variable "Y"…

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t)…

A: The number of times an observation is repeated in the experiment is called frequency of that…

Q: In large corporations, an "intimidator" is an employee who tries to stop communication, sometimes…

A: (i) We have done the calculations for the sample means and standard deviations using an fx-82MS…

Q: A physician wants to determine if a supplement is effective in helping men lose weight. She takes a…

A: It is given that the sample size (n) is 6 and the hypothesized test is left- tailed. The level of…

Q: In a large school, it was found that 64% of students are taking a math class, 74% of student are…

A: The objective of this question is to find the probability that a randomly selected student is taking…

Q: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…

A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.

Q: In western Kansas, the summer density of hailstorms is estimated at about 2.0 storms per 5 square…

A: Let r be a random variable such that r: the number of hailstorms this summer in the 7-square-mile…

Q: In some city, 50% of the eligible voters prefer candidate A, 40% prefer candidate B, 10% have no…

A: 1. It is given that, 50% of the eligible voters prefer candidate A and 12 eligible voters are…

Q: in the world series two teams play until one team has won four games. Suppose Atlanta is playing…

A: given data P(toronta win) = p = 3/8 to win series have to win four game P(toronto win series on…

Q: A nurse has found that when a patient calls the medical advice line claiming to have the flu, the…

Q: In the western United States, there are many dry land wheat farms that depend on winter snow and…

Q: Player picks a random ball from one of 3 boxes. It's known that for one box the probability of…

A: INTRODUCTION : Definition : Probability: If an experiment results in any one of exhaustive,…

Q: Suppose that you have a hat that contains slips of paper. Each slip of paper has a single number…

A: The question is about discrete probability distribution.Given :Each slip has number from 1-5 written…

Q: A pizza restaurant sells two different crusts (regular and thin-crust) and three different toppings…

A: 1.Types of Crusts:Regular crustThin crust2. Types of Toppings:PepperoniSausageBell peppersGiven…

Q: (b) Find a 90% confidence interval for - 2. (Round your answers to two decimal places.) lower limit…

A: Confidence Interval: In statistics, we can say a range of values of the specified population…

Q: In large corporations, an "intimidator" is an employee who tries to stop communication, sometimes…

A: (i) We have done the calculations for the sample means and standard deviations using an fx-82MS…

Q: The number of accidents at a certain intersection is a Poisson random variable. The probability that…

A: we have given that The probability that there are 2 accidents in any given week is 3 times as much…

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t)…

A: Given information: The outcomes and their corresponding probabilities of an experiment are tabulated…

Q: A local election will be held with 12 candidates running for a new county governing board. Four…

Q: Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

**Transcription:**

Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let $ R $ be the random variable counting the number of boys in each outcome. For example, if the outcome is $ bbg $, then $ R(bbg) = 2 $. Suppose that the random variable $ X $ is defined in terms of $ R $ as follows: $ X = R - R^2 - 3 $. The values of $ X $ are thus:

\[
\begin{array}{|c|c|}
\hline
\text{Outcome} & \text{Value of } X \\
\hline
ggg & -3 \\
ggb & -5 \\
gbg & -5 \\
bgg & -5 \\
gbb & -9 \\
bgb & -9 \\
bbg & -9 \\
bbb & -3 \\
\hline
\end{array}
\]

Calculate the probability distribution function of $ X $, i.e., the function $ p_X(x) $. First, fill in the first row with the values of $ X $. Then fill in the appropriate probabilities in the second row.

\[
\begin{array}{|c|c|c|c|}
\hline
\text{Value } x \text{ of } X & & & \\
p_X(x) & & & \\
\hline
\end{array}
\]

**Diagram Explanation:**

The table displays outcomes of the children's genders with corresponding random variable $ X $ values. The task is to find the probability $ p_X(x) $ for each unique $ X $ value by identifying outcomes and their probabilities.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A psychologist found a study which claiming that 32% of patients who visit a psychologist have symptoms of anxiety. This psychologist had 44 patients visit. Let x = the number of patients that had symptoms of anxiety. (a) The random variable is which of the following? O the number of psychologists O the number of patients who visited the psychologist the number of patients who had symptoms of anxiety O the number of patients without symptoms of anxiety (b) How many total patients did the psychologist have visit?
A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?
The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
I will be glad if the answer comes quickly
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of heads in each outcome. For example, if the outcome is tth, then =Rtth1. Suppose that the random variable X is defined in terms of R as follows: =X−R2−3R4. The values of X are given in the table below. Outcome htt tht hth thh ttt hhh hht tth Value of X −6 −6 −6 −6 −4 −4 −6 −6 Calculate the values of the probability distribution function of X, i.e. the function p X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.
In a class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, find the probability of selecting the following A junior or a female A junior or a senior A junior who is a female