Question

# You are a financial analyst facing the task of selecting bond mutual funds to purchase for...

You are a financial analyst facing the task of selecting bond mutual funds to purchase for a​ client's portfolio. You have narrowed the funds to be selected to fourteen different funds. In order to diversify your​ client's portfolio, you will recommend the purchase of three different funds. Eight of the funds are​ short-term corporate bond funds. What is the probability that of the three funds​ selected, a. exactly 1 is a​ short-term corporate bond​ fund? b. at least 1 is a​ short-term corporate bond​ fund? c. two are​ short-term corporate bond​ funds? d. Another financial analyst narrowed their own funds to be selected to ten different funds. The probability that three of the recommended funds were exactly two of the eight ​short-term corporate bond funds is 46.67%. How does this compare to the results of c.​? a.​ P(X=​1)= ​ % ​(Round to two decimal places as​ needed.) b.​ P(X≥​1)= ​ % ​(Round to two decimal places as​ needed.) c.​ P(X=2​)= ​ % ​(Round to two decimal places as​ needed.)

Number of different funds, N = 14

Purchase Funds, n = 3

Short term funds, S = 8

a) Probability that of the three funds​ selected exactly 1 is a​ short-term corporate bond​ fund =

b) Probability that of the three funds​ selected at least 1 is a​ short-term corporate bond​ fund =

c) Probability that of the three funds​ selected two are​ short-term corporate bond​ funds

d) The probability of the another financial analyst was more than your financial analyst.

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