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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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​

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Maya 2 months 2021-11-23T05:03:04+00:00 1 Answer 0 views 0

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    2021-11-23T05:04:40+00:00

    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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