MTH 101 OL2 Statistics and Probability I Homework: Sec. 5.5 core: 0.25 of 1 pt 9

Question

MTH 101 OL2 Statistics and Probability I Homework: Sec. 5.5 core: 0.25 of 1 pt 9of11(11 complete) 5.5.23 A survey of adults ages 18-29 found that 82% use the Internet. You randomly select 176 adults ages 18-29 and ask them if they use the Internet (a) Find the probability that exactly 147 peor say they usa the Internet (b) Find the probability that at least 147 people say ustha Internet (c) Find the probablity that fewer than 147 neoplesyuse the Internet (d) Are any of the probabilities in parts (a-es plain bie Use a normal approximation to the binomial (a) P(x-147)-[ ] (Round to four decimi.

Explanation / Answer

given n = 176

and p = 0.82

so for binomial approximation we know that

mean = np = 176*0.82 = 144.32

sd = sqrt(176*0.82*(1-0.82)) = 5.09

a)

Px(147)

we know that the Z score is

Z = (X-Mean)/SD = (147-144.32)/5.02 = 0.533

we see the corresponding value from the z table as

0.2970

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