(Answered) The size of servings of soft ice cream in a fast-food chain

Statistics

The size of servings of soft ice cream in a fast-food chain is monitored carefully so that the mean serving is 250g, with a standard deviation of only 7.5g. Treat the weights as being normally distributed.

a. Inspectors select 20 servings at random, and weigh them. What is the probability that the mean weight is either below 240g or above 260g?

b. At least how much ice cream is there in a serving that is among the heaviest 15% of servings?

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