In the last quarter of 2007, a group of 64 mutual funds had a mean return of 3.3% with a standard deviation of 4.6%. consider the normal model n(0.033,0.046) for the returns of these mutual funds.

a) what value represents the 40th percentile of these returns?
b) what value represents the 99th percentile?
c) what's the iqr, or interquartile range, of the quarterly returns for this group of funds?

a) 0.021362

b) 0.139996

c)  0.062008

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  3.3% = 0.033

Standard Deviation, σ = 4.6% = 0.046

We are given that the distribution of mutual funds is a bell shaped distribution that is a normal distribution.

a) We have to find the value of x such that the probability is 0.4.

Calculation the value from standard normal z table, we have,  

b) We have to find the value of x such that the probability is 0.99

Calculation the value from standard normal z table, we have,  

c) IQR =

We have to find the value of x such that the probability is 0.75

Calculation the value from standard normal z table, we have,  

We have to find the value of x such that the probability is 0.25

Calculation the value from standard normal z table, we have,  

IQR =

14

step-by-step explanation: