1.)The Excel Equation =RAND()*11 generates a value that can be considered to be

Question

1.)The Excel Equation =RAND()*11

generates a value that can be considered to be uniformly distributed between 0 and 11.

What is the probability, when you use this function, that you will get a value between 0.5 and 1.7? Use four decimal places.

2.)The Excel Equation =RAND()*11

generates a value that can be considered to be uniformly distributed between 0 and 11.

What is the "expected," or mean, value of the number generated by this Excel equation? Use two decimal places.

3.)Continuing, suppose we wished to answer the following question:

What's the probability that S, the sum of 100 independent values of the uniformly distributed random variable, will take a value greater than 101?

Answering such a question would involve using the

Select one:

Binomial distribution to approximate the distribution of S.

normal distribution to approximate the distribution of S.

Poisson distribution to approximate the distribution of S.

Uniform distribution to approximate the distribution of S.

Multinomial distribution to approximate the distribution of S.

Explanation / Answer

(1) Max = 11, Min = 0

P(x1 < x < x2) = (x2 - x1)/(Max - Min)

P(0.5 < x < 1.7) = (1.7 - 0.5)/(11 - 0) = 0.1091

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