SOLUTION: A company is taking a survey to find out whether people like its product. Their last survey indicated that 70% of the population like the product. Based on that, of a sample of

Algebra ->  Probability-and-statistics -> SOLUTION: A company is taking a survey to find out whether people like its product. Their last survey indicated that 70% of the population like the product. Based on that, of a sample of       Log On


   

Question 164816: A company is taking a survey to find out
whether people like its product. Their last survey indicated
that 70% of the population like the product. Based on that,
of a sample of 58 people, find the probabilities of the following.
a. All 58 like the product.
b. From 28 to 30 (inclusive) like the product.
Answer by themathprof(21) About Me  (Show Source):
You can put this solution on YOUR website!
You can use the normal curve as an approximation to the binomial.
mean=np=58(.7)40.6
std+dev=sqrt%28npq%29
std+dev=sqrt%28%2858%29%28.7%29%28.3%29%29=3.5
p=.7; n=58 q=1-p=.3
a) becomes p(57.5 correction for continuity
b) becomes p(27.5 change x's to z's, use table of standard
normal curves areas
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