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In a study, 35% of adults questioned reported that their health was excellent. A researcher wishes to study health of people living close to a nuclear power plant. Among 14 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 14 adults are randomly selected, 3 or fewer are in excellent health. SHOW WORK/FORMULA USED OR STATE CALCULATOR STEP USED

  • statistics -

    this is binomial ... excellent health or not

    P(e) = .35 ... P(n) = .65

    (n + e)^14 ... sum the 1st 4 terms

    n^14 + 14 n^13 e + 91 n^12 e^2 + 364 n^11 e^3

    .65^14 + (14 * .65^13 * .35) + ...

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