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statistics

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) 43% of adults receive phone calls during the day. Amongst 10 randomly
selected people find the probability that
a. Adults receive exactly 4 phone calls.
b. Adults receive 8 or more phone calls.

  • statistics -

    Binomial distribution:
    p=0.43 (probability of success)
    q=1-p=0.57
    N=10 (sample size)

    Probability of r successes out of N:
    P(X=r)=C(N,r)p^r*q^(N-r)
    and C=combination=N!/(r!(N-r)!)
    a. r=4
    P(X=4)=C(10,4)*0.43^4*0.57^(10-4)=0.24

    b. r≥8
    P(X≥8)
    =P(X=8)+P(X=9)+P(x=10)
    = similar calculations as above

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