Mutal Fund types and Risk levels case $[40$ marks$]$

Below table represents a sample of $402$ Mutal Funds. There are two categorical variables $-$ Fund type and Risk Level. Fund type consists of two categories $-$ Growth Fund and Value Fund. Risk level category consists of three categories $-$ Low, Medium, and High risk mutual funds.

$\backslash$table$[[$Fund Type,Risk Level,Mutal Funds$],[$Growth Fund,Low,$15],[$Growth Fund,Medium,$198],[$Growth Fund,High,$53],[$Value Fund,Low,$24],[$Value Fund,Medium,$97],[$Value Fund,High,$15]]$

a$.$ Construct a contingency table with Fund types and Risk level. Show fund type in rows and Risk Level in columns. Also create an additional contingency table based on percentage of overall total. Briefly explain at least two facts that fascinates you. $[10$ marks$]$

b$.$ Construct a table and bar chart showing marginal distribution in percent for Row variable. Briefly explain the table details. $[5$ marks$]$

c$.$ Construct a table and bar chart showing marginal distribution in percent for Column variable. Briefly explain the table details. $[5$ marks$]$

d$.$ Construct conditional distribution based on percentage of row total. Find out what percentage of growth funds and value funds have low risk? $[10$ marks$]$

e$.$ Construct conditional distribution based on percentage of column total. What is the percentage of funds that have low risk, are growth funds? What percentage of medium$-$risk and high$-$risk funds are value funds? $[10$ marks$]$