In problem 20. We want to compare to disease four fond of stocks. The first one is named Becks. Well, let balance and it has the mean export equals lying by 58 percent and the standard deviation s equals 14.5%. The other index is $1 balance. Younger balancing, which has export, which equals nine point Oh, two percent. And it has thundered the vision and she equals 12.5% for birdie. We want to compute the coefficient overage for each fund index Confessions operation equals a standard division divided by the meat. For the back solid PW equals 14.5% divided by 9.58% which equals 1.4666 and it equals 146.66 in percentage. The coefficient of variation for the vanguard balance it equals yes, just 12.5 divided by 9.2 percent equals 1.3858 which equals 138.58 in percentage. If we represent this export as return for the fun and it's as the risk because when the standard division increase the risk increases because we don't know the precise return as as increase. We can see that the coefficient of variation, which equals is divided by export, represents the risk per unit return better unit required because we divide as divided by X as we divine speed, for example, or velocity, which equals distance Over time, we can say that about the speed or the velocity as it is the distance but unit type. It's the same concept by comparing the coefficient of variation for both. Or now we can compare the risk oriented return for each and disease. For each index, we can see that this is the least value, which means the Vanguard balance it index as lower risk risk per unit. Better a unit of return, the unit of the tail, then have angered balance. It index is better because it has lower risk. Let's go to Barbie. Part to be we want to compute 75% shipshape interval around the mean for each fund that's recalled. Ships of Interval, we have minimum percentage of one minus one, divided by K Square four. The enter we're K is represents in this equation. New plus or minus cassette. This means this is the percentage food this interview from U minus K Sigma to new plus casing. If we equate this equation to 17 5% this means we have one minus one. Divided by K square equals 0.75 Then okay, equals two. Then to get the interval for each and dicks. Let's start by. That's all it. Mm. We get the intervals from this equation. We have new or export. You can make it for export. Plus or minus cape multiplied by s. The ships have been terrible. Work is for population. And for examples, the back sold it. We have export export equals 9.5. Yeah, person plus or minus. Let's start by the minimum bench or the minimum limit by an escape, which is to have calculated ks two deployed by s of the backs folded 14.5. This is the lower limit. The upper limit is 9.58 plus two multiplied by 14.5. This means the back solid interval is from minus 18.52% two 37.68%. We will do the same for the other index. Vanguard balance it X 9.2 to minus two, multiplied by S 12.5. This is the lower limit, and the upper limit is now in brain or two plus two apply by 12.5. This makes the interval starts from minus 15.98% two. 34.2%. You can see that there is the risk. Export can be negative for both in disease, which means there might be a loss. By comparing the two intervals, we can see that the back solid has a wider interpret and its range is bigger than the bangle. Then, as if I'm good interval or the Bangor Balance, it index the hunger balance balance. It index has lower range and or we can say smaller Interpol four 75% shipshape interval chip show. It's about it is but because it has a smaller Internet than the back sword, and this is the final answer of our problem.