Ask Question
13 April, 20:13

Consider the probability that less than 17 out of 160 people will get the flu this winter. Assume the probability that a given person will get the flu this winter is 14%. Approximate the probability using the normal distribution. Round your answer to four decimal places.

+2
Answers (1)
  1. 13 April, 20:43
    0
    0.1094

    Step-by-step explanation:

    Given that we are considering less than 17 out of n = 160, so the required probability is:

    P (X< 17)

    The probability, p, that a person get the flu is 14%

    p = 0.14, q = 1 - 0.14 = 0.86

    We deduce the mean number of people and the standard deviation using

    U = np = 160 * 0.14 = 22.4

    Sd = √npq = √ 160 * 0.14 * 0.86

    = 4.389

    Therefore Probability for less than 17 is given by:

    P (X< 17) = P (Z< X-U/sd)

    P (X< 17) = P (Z<17-22.3/4.389)

    = P (Z< - 1.23)

    = 0.10935

    0.1094

    Since we are approximating the distribution to normal distribution
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Consider the probability that less than 17 out of 160 people will get the flu this winter. Assume the probability that a given person will ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers