A survey is taken among customers of a fast-food restaurant to determine prefere

Question

A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents selected, 125 were male and 75 were female. 120 preferred hamburger and 80 preferred chicken. Of the males, 85 preferred hamburger.

1. What is the probability that a randomly selected individual prefers hamburger or chicken.

2. Suppose that two individuals are randomly selected. What is the probability that both prefer hamburger.

3. What is the probability that a randomly selected individual prefers hamburger.

4. What is the probability that a randomly selected individual prefers hamburger is a male.

Explanation / Answer

1. probability that a randomly selected individual prefers hamburger or chicken=200/200=1

2.The probability that both prefer hamburger is= (120/200)(119/199) =0.35879

3. the probability that a randomly selected individual prefers hamburger=120/200=3/5

4.  probability that a randomly selected individual prefers hamburger is a male=160/200=4/5

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