For each of the following scenarios, write the desired probability in a format s

Question

For each of the following scenarios, write the desired probability in a format such as P(X 10) and specify n and p. (X is a binomial random variable with the specified n and p.) Do not actually compute the desired probability. If you cannot specify a numerical value for p, write NONE in the answer box.

(a) A random sample of 5,000 adults is drawn from the United States. X = the number in the sample who are living with a partner but are not married. The desired probability is the probability that at least 1/10 of the sample fits this description.

The desired probability is (P X (<,>,, ) )

n =

p =

(b) A pharmaceutical company claims that 30% of the population of people taking its new allergy medication will experience drowsiness. To test this claim, it randomly assigns 1,200 people to take the new medication and measures X = the number who experience drowsiness.

The desired probability is the probability that 370 or more people in the sample experience drowsiness if the claim is true.

The desired probability is (P X (<,>,, ) )

n =

p =

(c) A student has not studied the material for a 50-question true-false test and simply guesses on each question. A passing grade is 90%; the desired probability is the probability that the student passes the test.

The desired probability is (P X (<,>,, ) )

n =

p =

Explanation / Answer

a) P(X 500)

n = 5000

p = 0.1

b) P(X 370)

n = 1200

p = 0.3

c) P(X 45)

n = 50

p = 0.5

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