5.38 Tomato as a taste modifier. Miraculin-a protein naturally produced in a rare tropical fruit-can convert a sour taste into a sweet taste; thus, it has the potential to be an alterna- tive 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.

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5.38 Tomato as a taste modifier. Miraculin-a protein naturally
produced in a rare tropical fruit-can convert a sour taste
into a sweet taste; thus, it has the potential to be an alterna-
tive 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.
Transcribed Image Text:5.38 Tomato as a taste modifier. Miraculin-a protein naturally produced in a rare tropical fruit-can convert a sour taste into a sweet taste; thus, it has the potential to be an alterna- tive 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.
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