Question

Suppose the number of French fries in a small bag at a particular fast-food restaurant follows a normal model with mean 49 fries and standard deviation 5 fries. 1. Estimate the proportion of the bags that contain at least 40 fries. 2. Estimate the proportion of the bags that contain 50 or fewer fries. 3. The restaurant could advertise that 99% of its bags contain at least how many fries? 4. If the restaurant wants to increase the probability in Question 1 by changing the mean, should it increase or decrease the mean? Explain intuitively and draw a sketch. 5. If the restaurant wants to increase the probability in Question 1 by changing the standard deviation, should it increase or decrease the standard deviation? Explain intuitively, including a sketch but no calculations.

Answer 1