A committee with 3 members is to be chosen randomly from 5 boys and 7girls and count the number of girls on the committee.a) Identify the two groups.b) In words, describe the random variable X.c) List the values of the random variable X takes on.d) What is the expected number of girls on the committee?e) Determine the standard deviation of the number of girls in thecommittee.

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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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Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has noeffect, so the probability of a girl is 0.5. Assume that the groups consist of 32 couples. Complete parts (a) through (c) below. Find the mean and the standard deviation for the numbers of girls in groups of 32 births.
according to a recent poll, 95% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site. A) Find the mean and standard deviation of X. B)What is the probability that you must ask ten people to find one person without a social networking site? C) What is the probability that you must ask 20 people to find one person without a social networking site? D) What is the probability that you must ask at most five people?
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. determine the probability for a random selected value from this population. a) what is the probability that the value is less than 90? b) what is the probability that the value is less than 95? c) what is the probability that the value is more than 130? d) what is the probability that the value is more than 85? Please help me! Thank You!
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births. The value of the mean is = (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 41 girls a result that is significantly high? What does it…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 44 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 44 births. The value of the mean is (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 35 girls a result that is significantly high? What does it…
Surgery has a success rate of 80% . suppose that the surgery is performed and 3 patients . A)what is the probability the surgery is successful in exactly 2 patients? B)what is the probability of getting success in less than 2 patients? C)on average, how many surgeries we expect to be successful? D)what is the standard deviation of numbers of successful surgeries?

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