The makers of a certain diet cola claim that its taste is identical to the full-calorie version. To test this claim, a
researcher recruits 175 volunteers, has them drink samples of both colas from identical cups in a randomized order,
and then asks them to identify which sample is the diet cola. If we assume that the volunteers truly cannot tell the
difference, then the probability that they correctly identify the diet cola is 0.5.
X = the number of volunteers who correctly identify the diet cola and is a binomial random variable.
Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.
Hx=
x =

Question

06-05-2021
Mathematics

Answered

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The makers of a certain diet cola claim that its taste is identical to the full-calorie version. To test this claim, a
researcher recruits 175 volunteers, has them drink samples of both colas from identical cups in a randomized order,
and then asks them to identify which sample is the diet cola. If we assume that the volunteers truly cannot tell the
difference, then the probability that they correctly identify the diet cola is 0.5.
X = the number of volunteers who correctly identify the diet cola and is a binomial random variable.
Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.
Hx=
x =

Sagot :

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