A financial advisor is considering choosing four new companies for a client's portfolio. Suppose we know that 30% of all new companies are profitable. The events that the various companies provide returns are assumed to be independent. a. Calculate the probability that exactly one company gives a positive return.  b. How many profitable companies will the advisor expect?

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A financial advisor is considering choosing four new companies for a client's
portfolio. Suppose we know that 30% of all new companies are profitable. The events
that the various companies provide returns are assumed to be independent.

a. Calculate the probability that exactly one company gives a positive return. 

b. How many profitable companies will the advisor expect? 

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