Decide whether you can use the normal distribution to approximate the binomial d

Question

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 69% of those who text on cell phones receive spam or unwanted messages. You randomly select 100 adults who text on cell phones. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, because both np greaterthanorequalto 5 and nq greaterthanorequalto 5. B. No, because np

Explanation / Answer

Here, np = 100 * 0.69 = 69

nq = 0.31*100 = 31

So, normal dist. A option

a) X(number of people who receive spam or unwanted messages)~Bin(100,0.69)
P(X=73) = (100C73)*(0.69^73)*((1-0.69)^(100-73)) = 0.06102

b) C option is the answer as it tells at exact value

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