# Question: Miraculin a protein naturally produced in a rare tropical fruit can convert

Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In Plant Science (May 2010), a group of Japanese environmental scientists investigated the ability of a hybrid tomato plant to produce miraculin. For a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a standard deviation of 8.0. Assume that x is normally distributed.

a. Find P(x > 120).

b. Find P(100 < x < 110).

c. Find the value a for which P(x < a) = .25.

a. Find P(x > 120).

b. Find P(100 < x < 110).

c. Find the value a for which P(x < a) = .25.

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