Answer the question in the screenshot below. Please show your work including calculator calculations. Thank you!

2. Agricultural scientists are working on developing an improved variety of Roma tomatoes. Marketing research indicates that customers are likely to bypass Romas that weigh less than 70 grams. The current variety of Roma plants produce fruit that average 74 grams, but 11% of the tomatoes are too small. It is reasonable to assume that a Normal model applies. a) What is the standard deviation of the distribution of weights of the current Romas being grown? (Show all work) b) Scientists hope to reduce the frequency of undersized tomatoes to not more than 4%. One way to accomplish this is to raise the average size of the fruit. If the standard deviation remains the same, what target mean should they have as a goal? (Show all work)