## the probability that man is 45 years will die within a year is 0.012 what is the probability that of 10 men at least 9 will reach their 46th

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Given :the probability that man is 45 years will die within a year is 0.012To find :probability that of 10 men at least 9 will reach their 46th birthdaySolution :probability man will die in 45th year p =0.012

probability of surviving n 45th year q = 1 – p = 1 -0.012 = 0.988

P(x) = ⁿCₓpˣqⁿ⁻ˣ

probability that out of 10 men at least 9 will reach their 46th birthday

Means Either 1 man will die or no man will die

n = 10

x = 0 & 1

Probability = P(0) + P(1)

= ¹⁰C₀(0.012)⁰(0.988)¹⁰ + ¹⁰C₁(0.012)¹(0.988)⁹

= (0.988)⁹ ( 0.988 + 0.12)

= (0.988)⁹(1.108)

= 0.994

0994 is the probability that out of 10 men at least 9 will reach their 46th birthday

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