a.The weight of '50 g' bags of potato chips is normally distributed with a mean of 50.2 grams and a standard deviation of 5grams.

i.Calculate the standard deviation of the sampling distribution of the average weight of the '50 g' potato chip bag for samples of size 5. Give your answer correct to 4 decimal places. [2]

If a customer buys a pack of 5 potato chip bags, what is the probability that the average weight of these 5 potato chip bags will be between 51 grams and53grams?

a.John wants to find a new investment for his portfolio. He considers the following options for investment:

Stocks: John was offered stock of NAB. The average return of this stock is 14% with a standard deviation of 10%.

ETFs: Another option is the Exchange-Traded Fund (ETF), which tracks the performance of the S&P 200 index. The ETF offers an average return of 13% with a standard deviation of 7%.

By calculating the coefficients of variation for both shares, determine which investment option would be considered riskier and explain why.