It is estimated that 3.7% of general population will live past their 90th birthday. In a graduating class of 714 high school seniors, find the following probabilities a) 15 or more will live beyond their 90th birthday b) 30 or more will live beyond their 90th birthday c) between 25 and 35 will live beyond their 90th birthday d) more than 40 will live beyond their 90th birthday

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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It is estimated that 3.7% of general population will live past their 90th birthday.

In a graduating class of 714 high school seniors, find the following probabilities

a) 15 or more will live beyond their 90th birthday

b) 30 or more will live beyond their 90th birthday

c) between 25 and 35 will live beyond their 90th birthday

d) more than 40 will live beyond their 90th birthday

d) 

Expert Solution
Normal approximation :

 Note: "Since you have posted a question with multiple sub -parts, we will solve first three sub parts for you. To get remaining subpart solved please re post the complete question and mention the sub parts to be solved".

 

The binomial distribution is the approximate to normal distribution. if the following condition satisfied,

                    1) NP ≥ 10

                   2) N(1-P) ≥ 10

Where, N is the sample size 

            P is probability of success

 

 

 

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