Question $2(8$ points$)$

Your friend has a huge jar of coins that they have been filling over the years, and your friend wants to count

their money. To avoid manually counting the coins, they deposited each coin into a jar through a lid that was

equipped with a device that measured the coins' diameter. Based on the diameter, the device assigned the coin a

number $1-4,1$ being the smallest and $4$ being the largest. That is$,1$ corresponds to a dime, $2$ corresponds to a

penny, $3$ corresponds to a nickel, and $4$ corresponds to a quarter. The device recorded each coin this way, one

by one, and stored them each in the vector coins in HW$6\_$Coin$\_$Data. Your friend needs your extraordinary

MATLAB coding skills to find out exactly how much money they have in their jar.

Write a script that will analyze the data in the file by using logical indexing to determine how many of each

coin type there is$,$ storing those numbers in variables, and calculating the total amount of money in the jar.

Then it will print the results to the screen in the format shown below and save the four variables corresponding

to the number of each coin to a new file called HW$6\_$Results.mat

The jar has ### quarters, ### dimes, ### nickels, and ### pennies.

The jar contains $##$.$## in coins.