An insurance agent sells the policies to 20 persons having same age and in good health. Based on the company's record, the probability that person in this age will live for the next 20 years is 2/3. Find the probability (a) 8 persons, (b) at most 7 persons, (c) more than 7 persons,

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An insurance agent sells the policies to 20 persons having same age and in good health.
Based on the company's record, the probability that person in this age will live for the
next 20 years is 2/3. Find the probability
(a) 8 persons,
(b) at most 7 persons,
(c) more than 7 persons,
(d) at least 3 persons,
(e) more than 6 persons but less than 11 persons
are still alive at the end of this 20 years period.
The probability for a mango tree from a certain type, will produce fruits in the first year is
0.8. Each time, the mango trees seller sells about 5 trees to the buyer with the guarantee
that if less than 3 trees produce fruits in the first year, he will replace them according to
the number of trees which do not produce fruits.
(a) Calculate the probability that there will no replacement.
(b) If he sells the trees to 3000 buyers that are 5 trees to each buyer, how many trees
are expected to be replaced?
Transcribed Image Text:An insurance agent sells the policies to 20 persons having same age and in good health. Based on the company's record, the probability that person in this age will live for the next 20 years is 2/3. Find the probability (a) 8 persons, (b) at most 7 persons, (c) more than 7 persons, (d) at least 3 persons, (e) more than 6 persons but less than 11 persons are still alive at the end of this 20 years period. The probability for a mango tree from a certain type, will produce fruits in the first year is 0.8. Each time, the mango trees seller sells about 5 trees to the buyer with the guarantee that if less than 3 trees produce fruits in the first year, he will replace them according to the number of trees which do not produce fruits. (a) Calculate the probability that there will no replacement. (b) If he sells the trees to 3000 buyers that are 5 trees to each buyer, how many trees are expected to be replaced?
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