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 birthday
Answers
Given : the probability that man is 45 years will die within a year is 0.012
To find : probability that of 10 men at least 9 will reach their 46th birthday
Solution :
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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