Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities.(a) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places.)P(0 girls) =P(1 girl) =P(2 girls) =P(3 girls) =P(4 girls) =P(5 girls) =(b) Construct the binomial distribution, and draw the histogram associated with this experiment.Probability0.50.50.40.40.30.30.20.20.10.1Girls3440.50.50.40.40.30.30.20.20.10.112424(c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.)meangirlsstandard deviationgirls

a. The probability of x successes in n independent trials is given by, Here, X is the binomial…

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...

See similar textbooks

Similar questions

lower and upper bound please
A sociologist is analyzing Social Security data. The number of individuals in the sample is 5. The probability that an individual receives Social Security is 20%. What is the probability that exactly 3 of the 5 individuals receive Social Security? O 0.0512 O 0.0305 O 0.6125 O 0.1024
QUESTION 11 Suppose X= the number of cars owned by a family in the UAE. The probability distribution of X is shown in the table below. Suppose you choose two families at random. What is the chance that each family owns one car? (That means family A owns 1 car and family B owns 1 car.) 1 2 Probability 0.56 0.23 0.12 0.09 O 0.23 + 0.23 - (0.23) x (0.23) = .4071 O 0.23 O 0.23 + 0.23 = 0.46 O (0.23) x (0.23) = 0.0529
About 2.5% of Canadians have blood type AB. If 25 Canadians are selected randomly, ving. The exact probability that less than 2 have blood type AB. The exact probability that 23 have blood type other than AB. The approximate probability that at least one has blood type AB.
A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindfolded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat once, what is the probability of choosing a female rat or an albino rat? Give your answer as a decimal rounded to 4 decimal places.
Find the indicated probability. If P(A or B) = 0.8, P(A) = 0.3, and P(A and B) = 0.15, find P(B). P(B) =| (Simplify your answer. Type an integer or a decimal.)
72% of all Americans are home owners. If 49 Americans are randomly selected, find the probability that Exactly 34 of them are home owners. ___________
A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 236 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.
In order to attract customers, a grocery store started a "SAVE" game. Any person who collects all four letters of the word save gets a prize. A diligent Mrs. Reyes has three letters "s", "a" and "e" keeps going to the store until she gets the 4th letter "v". The probability that she gets the letter "v" on any visit is 0.002 and remains the same from visit to visit. Find the probability that she will not have to visit more than three times. a.0.006 b.0.004 c.0.003 d.0.007
At a local company, 15% of the employees are women. Every day, 7% of the women bring their lunch to work, while only 3% of the men bring lunch. Find the probability that a randomly selected employee is a woman given that the person brings their lunch to work. A. 0.150 B. 0.011 C. 0.708 D. 0.292 E. 0.070

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS