Let the random variable X denote the number of girls in a five-child family. Ifthe probability of a female birth is 0.5,21.(A) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family.(B) Construct the binomial distribution and draw the histogram associated withthis experiment.al 2sr 3namhegxs end rd behogoua fon 2sw misb aynegmp siff.(e)A bnod 10 soie coubauensatong s baiato oicoso xie nad 15 Wa(C) Compute the mean and the standard deviation of the random variable X.

21. A. From the given information, the random variable X denotes the number of girls in a five-child…

Answered: Let the random variable X denote the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4.56 Nonstandard dice. Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard die, with faces having one, two, three, four, five, and six spots. The other die has three faces with one spot and three faces with six spots. Find the probability distribution for the total number of spots Y on the up-faces when you roll these two dice.
Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.
About 10% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. is the experiment a binomial experiment? No Yes What is a success in this experiment? Baby doesn't recover Baby recovers This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.A.n=enter your response hereB.This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.A.p=enter your response hereB.This is not a binomial experiment. Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.A.q=enter your response…
Do question 2
2 Define the random variable, its type of distribution, and compute for the variable/measure that is being asked. You can follow the example below
1.) Why does a large value of the F statistics provide evidence against the null hypothesis? 2.) An urn contains 20 colored golf balls: 8 white, 6 red, 4 blue, and 2 yellow. A child is allowed to draw balls until he gets a yellow one. The number of draws required is recorded. Determine what distribution the probability experiment represents and why?
What could be the possible values of the random variable below? Number of blood donors in a donation drive x20 x = 1,2, 3,... 05xS 1000 O Not a random variable x 0,1,2, 3,...
ook int rences American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 49.2% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. a-1. What is the random variable? The random variable is the count of the a-2. How is the random variable distributed? The random variable follows a binomial Probability 8 households that have a land line. probability distribution. N b. What is the probability that none of the households in the sampled group have landline phone service? (Round your answer to 4 decimal places.)
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female
Determine whether the given procedure results in a binomial distribution. If not, give the reason why not. Choosing marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of how many marbles are drawn until a red marble is chosen O Not binomial; there is not a fixed number of trials O Not binomial; there are more than two outcomes for each trial O Not binomial; the trials are not independent O Not binomial; for more than one of the reas as given in the above answer choices O This procedure results in a binomial distribution Submit Question X PrtScn DII F3 4 R F4 % 5 T F5 6 F6 & 7 U F7 * 8 F8 Home ( F9 O ) End F10 P

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