70% of all bald eagles survive their first year of life. Give your answers as decimals, not percents.  If 39 bald eagles are randomly selected, find the probability that a. Exactly 28 of them survive their first year of life.  b. At most 26 of them survive their first year of life.  c. At least 27 of them survive their first year of life.  d. Between 22 and 29 (including 22 and 29) of them survive their first year of life.

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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70% of all bald eagles survive their first year of life. Give your answers as decimals, not percents.  If 39 bald eagles are randomly selected, find the probability that

a. Exactly 28 of them survive their first year of life. 
b. At most 26 of them survive their first year of life. 
c. At least 27 of them survive their first year of life. 
d. Between 22 and 29 (including 22 and 29) of them survive their first year of life. 

Expert Solution
Step 1

Givenp=0.70n=39Let "x" be the no.of bald eagles survive their first year of lifex~Binomial(n=39,p=0.70)P(X=x)=(nx)×px×(1-p)n-x  ; x=0,1,...,n

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