Approximately 20% of U.S. workers are afraid that they will never be able to retire. Suppose 10 workers are randomly selected. a. What is the probability that none of the workers is afraid that they will never be able to retire? (Note: without calculation process, no credit)  b. What is the probability that at least two of the workers are afraid that they will never be able to retire? (Note: without calculation process, no credit) c. What is the probability that no more than two of the workers are afraid that they will never be able to retire? (Note: without calculation process, no credit) d. Calculate the expected value, the variance, and the standard deviation of this binomial probability distribution.

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A: The provided information are:

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Q: 1. A box contains 50 laptops, 10 of which are defective. 5 laptops are selected. Find the…

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A: Givenp=0.20n=10x~Binomial(n=10,p=0.20)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n

Q: A hiring manager knows from the past that only 42% of applicants are qualified for the position to…

A: Given that, A hiring manager knows from the past that only 42% of applicants are qualified for the…

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A:

Q: A financial advisor is considering choosing four new companies for a client's portfolio. Suppose we…

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A: Here use binomial theorem Because Finite number of trial Each trial independent of each other  Two…

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A:

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Q: 1. Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

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A:

Q: 4. At a High school, 70% of the seniors have taken an advance calculus course. Of those who have…

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A: Identifying the distribution:Consider the event X that a people having left hand as a…

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A: Given that  n=30 , p=28%=0.28 , q=1-p=1-0.28=0.72 X~Binomial(n=30,p=0.28)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.