Question

Let the random variable x represent the number of girls in a family of three children....

Let the random variable x represent the number of girls in a family of three children. Construct a table describing the probability disribution for this random variable.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let the probability of girls be 50% in a family. The the number of girls out of 3 children follows Binomial distribution with
The PMF of is .

Now, the probability distribution is

The distribution is tabulated as below.

Number of girls(X) 0 1 2 3
P(X=x) 1/8 3/8 3/8 1/8
0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let the random variable x represent the number of girls in a family with three children....
Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.42. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it​ does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three​ girls? x | P(x) 0 | 0.195 1 |...
1) The random variable X represents the number of girls in a family of 6 children....
1) The random variable X represents the number of girls in a family of 6 children. Assuming that the event of having boys and girls are equally likely. Construct the discrete probability distribution for the random variable X and plot your results. For the number of girls, determine the expected mean and standard deviation.
Let us assume that the number N of children in a given family follows a Poisson...
Let us assume that the number N of children in a given family follows a Poisson distribution with parameter . Let us also assume that for each birth, the probability that the child is a girl is p 2 [0; 1], and that the probability that the child is a boy is q = 1?p. Let us nally assume that the genders of the successive births are independent from one another. Let X be the discrete random variable corresponding to...
The random variable X is the number of girls of four children born to a couple...
The random variable X is the number of girls of four children born to a couple that is equally likely to have either a boy or a girl. Its probability distribution is as follows Q24 (a) µ = E(X) = (Round your answer to one decimal place) (b) σ(X) = (Round your answer to one decimal place) c) Among all families with four children, what is the average number of boys? (Round your answer to one decimal place)
Create the probability distribution for a random variable X that represents the following:The number of girls...
Create the probability distribution for a random variable X that represents the following:The number of girls in a 3 child family.
d.)Let X be a discrete random variable equal to the number of girls you have out...
d.)Let X be a discrete random variable equal to the number of girls you have out of 6 children. What is P(X=2 | X=1) P(X=2∣X=1)? a.) Assume that a website allows only lower case letters for password required to have a length of size 5, but does not allow the following choices for the password: (1) all 5 characters are identical and (2) any sequence ending with "gk". If a 5 letter sequence is randomly selected, what is the probability...
Suppose that a family has five children, consisting of three girls and two boys. Call the...
Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random. List the sample space of all possible pairs of these five children. a. Determine the probability that one child of each gender will be selected. Report your answer to two decimal places; e.g., 0.xx b. Determine the probability that two...
For a family with 4 kids define a random variable X to be equal to the...
For a family with 4 kids define a random variable X to be equal to the number of boys in the family. a) Describe and plot probability density and cumulative probability functions. b) Find the mean and variance of X. c) Compute and show on the plots the probability of having at least two girls.
For a family with 4 kids define a random variable X to be equal to the...
For a family with 4 kids define a random variable X to be equal to the number of boys in the family. 1. Describe and plot probability density and cumulative probability functions. 2. Find the mean and variance of X. 3. Compute and show on the plots the probability of having at least two girls.
1. Three random people get on a bus. Assume that boys and girls are equally likely...
1. Three random people get on a bus. Assume that boys and girls are equally likely to get on the bus. Let x represent the number of girls that get on the bus. Construct a probability distribution. 2. Find the value of z to the left of the mean so that 71.55% of the area under the distribution curve lies to the right of it. 3. According to a study done by a research center, 39% of adults believe that...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT