The CDC reports the probability a 25-year-old adult will survive to age 35 IS 0.

Question

The CDC reports the probability a 25-year-old adult will survive to age 35 IS 0.987 You select twenty-two 25-year-old adults at random. (Citation: http://www.cdc.gov/nchs/products/life_tables.htm) a) Explain why this scenario is a binomial experiment. b) What is the probability exactly 21 adults survive to age 35? All 22 survive? At least 21 survive? c) What is the probability at most 4 adults pass away before age 35? At least 18 survive? d) Find the expected value and explain what it means in context. e) Graph the probability distribution for this experiment neatly and accurately. Find and label the mean, median, and mode. Is the distribution normal? Skewed? If so, which way? Explain. f) Find the minimum number of 25-year-old adults we need to select at random for the probability distribution to be approximately normal? Apply the Empirical Rule and explain your results. g) Under the conditions of part (f), find the upper and lower fences. Which outcomes would be How many standard deviations above or below the mean are the outliers? h) Print out (o sketch) this distribution. Include your results from parts (f) and (g)

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

a) n = 22

p = 0.987

For binomial experment = n*P > 5

22 * 0.087 = 21.714

So, this is a binomial experiment

Also, randomization is there.

b) P(X = 21)

I am calculating all the Probabilities in exce.

P(X = 21) = 0.217

P(X=22) = 0.75

P(X 21) = 0.97

c) Atmost 4 pass away

P = 0.99

At leat 18 survive:

P(X 18) = 0.99

d) Expected value:

22 * 0.087 = 21.714

It means on average about 21.7 people will survive.

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