There is about 80% chance that a randomly selected person aged 20 will still be

Question

There is about 80% chance that a randomly selected person aged 20 will still be alive at age 65, according to the U.S. National Center for Health Statistics. Suppose that you randomly select forty 20-year-olds.

[a] What is the probability that at least 35 of the 40 persons are still alive at age 65?

Math formula: (Write the mathematical formula, with standard notation, for the probability.)

[3 pt] Excel commands: [2 pt]

Numerical answer: _________ [1 pt]

[b] What is the probability that between 10 and 25 (both inclusive) persons are alive at age 65?

Math formula: (Write the mathematical formula, with standard notation, for the probability.)

[3 pt] Excel commands: [2 pt]

Numerical answer: _________ [1 pt]

*Where it is asking for excel commands, it is looking for equations used in excel like BINOMDIST(x, n, p, True or False)

Explanation / Answer

Answer to the question with formula and numerical answer below:

a. Enter the excel formula: =1- BINOM.DIST(35,40,0.8,TRUE) = .0759

b. =BINOM.DIST(25,40,0.8,TRUE) - =BINOM.DIST(10,40,0.8,TRUE) = .0079154

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