Question

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return...

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 1.8​% with a standard deviation of 4.5​%. Consider the Normal model ​N(0.018​,0.045​) 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?

X : return of mutual funds.

X ~ N(0.018,0.045)

a).let x be the value that represents the 40th percentile of these​returns.

according the the problem,

[ in any blank cell of excel type =NORMSINV(0.40)press enter]

the 40 th percentile = 0.66 % or 0.0066

b).let x be the value that represents the 99 th percentile of these​returns.

according the the problem,

[ in any blank cell of excel type =NORMSINV(0.99)press enter]

the 99 th percentile = 12.27 % or 0.1227

c).for getting IQR, we have to calculate 25 th percentile and 75 the percentile.

let x be the value that represents the 25 th percentile of these​returns.

according the the problem,

[ in any blank cell of excel type =NORMSINV(0.25)press enter]

the 25 th percentile = -0.012352

let y be the value that represents the 75 th percentile of these​returns.

according the the problem,

[ in any blank cell of excel type =NORMSINV(0.75)press enter]

the 75 th percentile = 0.048352

The IQR be:-

or 6.07 %

***in case of doubt, comment below. And if u liked the solution, please like.

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• In the last quarter of​ 2007, a group of 64 mutual funds had a mean return...

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.4% with a standard deviation of 6.1% Consider the Normal model ​N(0.0240.024​,0.0610.061​) 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?

• In the last quarter of 2007, a group of 64 mutual funds had a mean return...

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.7% with a standard deviation of 7.6%. If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. a) Returns of-12.5% or less b) Returns of...

• In the last quarter of 2007, a group of 64 mutual funds had a mean return...

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 5.5% with a standard deviation of 6.1%. If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. a) Returns of 23.8% or more c) Returns...

• In the last quarter of​ 2007, a group of 64 mutual funds had a mean return...

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 5.5​% with a standard deviation of 7.7​%. If a normal model can be used to model​ them, what percent of the funds would you expect to be in each​ region? Use the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. ​a) Returns of negative 17.6​% or less ​...

• In the last quart of 2007 a group of 64 mutual funds had mean return of...

In the last quart of 2007 a group of 64 mutual funds had mean return of 2.8% In the last quarter of 2007, a group of 64 mutual funds had a mean return of 28% with a standard deviation of 6.5%. Fa normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more...

• In the last quarter of 2007, a group of 64 mutual funds had a mean return...

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.8% with a standard deviation of 6.5% If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. a) Returns of -16.7% or less c) Returns...

• In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.9% with a standard deviation of 4.1%. If...

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.9% with a standard deviation of 4.1%. If a normal model can be used to model​ them, what percent of the funds would you expect to be in each​ region? Use the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. ​a) Returns of 7.0% or more ​b) Returns...

• In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 5.45.4​% with a sta...

In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 5.45.4​% with a standard deviation of 6.26.2​%. If a normal model can be used to model​ them, what percent of the funds would you expect to be in each​ region? Use the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. ​a) Returns of negative 13.2−13.2​% or lessless ​b)...

• Ch 7 Q1 In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.4​% with a standard deviation of...

Ch 7 Q1 In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.4​% with a standard deviation of 5.5​%. If a normal model can be used to model​ them, what percent of the funds would you expect to be in each​ region? Use the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. ​ a) Returns of −14.1​%...

• Please Answer a-d Question Help In the last quarter of 2007, a group of 64 mutual...

Please Answer a-d Question Help In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.5% with a standard deviation of 4.1%. If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. a) Returns of...