· I G #9: nda Given that 60% of all women are employed outside the home. A rando
ID: 2934440 • Letter: #
Question
· I G #9: nda Given that 60% of all women are employed outside the home. A random sample of 20 women is obtained. Let the random variable Xbe the number of women in the sample who are employed outside the home the given information to answer questions 6- 10 #6: Identify the probability distribution or. X~ Normal ( -20 & =60). X-Nornal ( = 12 & = 3 ). X-Binomial ( n-60 & p = 0.20). X-Binomial (n-20 & p = 0.60). A) B) C) D) #7: What is the expected average number of women employed outside the home? #8: What is the standard deviation for the number of women employed outside the home? I-P 1903.. X19 #9: what is the probability that there will be 12women employed outside the home? plek oornia.cdf (a) ada , 12):0. I 791OS.Explanation / Answer
Answer to the question , solved full with explanations:
p = .60
n = 20
6. The distribution is a binomial distribution. We can't approximate to normal distribution since n(1-p) = 20*.4 =8<10, it should be greater than or equal to 0, to be solved using normal approximation.
So, D is correct
7. E(X) = np = .6*20 =12.
8. Stdev = sqrt(npq) = sqrt(.6*20*.4) = 2.191
9. P(X=12) = 20C12 *.6^12 *.4^8 = 0.1797
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