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# 4. Suppose that 25,000 children in Pangaea were randomly surveyed as to the number of different vegetables they

like to eat. The results are compiled below and are used as theoretical probabilities. Let X = the number of different vegetables Pangaean children like to eat. Round answers to two decimal places.

Question options:

a. Use the table above, calculating as necessary to find the expected value E(X).

b. Using the table above and your part (a) calculations, determine the population mean μ

c. Using the table above and your part (a) calculations and answer, calculate the population standard deviation σ

d. What should your probabilities, P(x), sum to?

A. 1 B. 2 C. 0.5   D. Whatever it turns out to be.

5. Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.25, find the following probabilities using technology.

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Question 4: a) The table is completed and given below. x P(x) x.P(X) (x-)2.P(x) 0 0.35 0.00 1.071875 1 0.20 0.20 0.112500 2... View the full answer

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