An investment adviser for g prowe rice has many clients

Reference no: EM13638535

An investment adviser for G. Prowe Rice has many clients owning shares of mutual funds. These mutual funds are categorized as Domestic Equity funds, International Equity funds, or Fixed Income funds. A sample of 65 clients of this investment adviser was randomly selected. The following counts were obtained:

. 30 clients in the sample owned Domestic Equity Funds.

. 17 clients owned International Equity funds and Fixed Income funds

. 53 clients owned Domestic Equity or Fixed Income funds

. 27 clients owned exactly 2 types of these mutual funds

. 5 clients in the sample did not own any shares of mutual funds

. 4 clients owned all three types of mutual funds

. 35 clients owned Fixed Income funds

a) Draw a Venn diagram for this information-label with number of clients in each section of the Venn diagram.

b) How many clients owned only Fixed mutual funds?

c) What is the probability that a client owned only Fixed Income mutual funds?

d) What is the probability that a client owned Fixed Income mutual funds? (note---this is NOT the same question as the previous one!)

e) What is the probability that a client did not own any Domestic Equity funds?

f) What is the probability that a client owned International Equity or Domestic Equity funds, but NOT Fixed Income funds?

g) Given that a client owned a Fixed Income fund, what is the probability that the client also owned an International Equity fund?

h) What is the probability that a client owned Fixed Income funds or no mutual funds?

i) Of those clients owning International Equity Funds, what is the probability that the client also owned a Domestic Equity fund?

Reference no: EM13638535

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