Question

Again suppose 20% of OSU students watch reality TV shows of some kind every week. Now...

  1. Again suppose 20% of OSU students watch reality TV shows of some kind every week. Now 100 OSU students are selected at random and asked if they watch reality TV of some kind each week. X = number in the sample who watch reality TV of some kind each week.
    1. Find the mean and SD of X.
    2. Justify that X has an approximate normal distribution.
    3. Use the normal approximation to find the probability that at least 27 of the students in the sample say yes.
    4. Explain why being able to use the normal approximation for the previous question is a GOOD THING. (What would you have to do otherwise?)

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