ot. Male Female (1) P(male) Hybrid 78 34 Suppose one of these 312 individuals is to be selected at random. (a) Find the following probabilities. (Round your answers to three decimal places.) (II) P(hybrid) (iii) P(hybrid male) (iv) P(hybrid female) Not Hybrid 117 83 (v) P(female hybrid) (b) For each of the probabilities calculated in part (a), write a sentence interpreting the probability. (1) P(male) O The probability that a randomly selected male Honda Civic owner purchased a hybrid. O The probability that a randomly selected female Honda Civic owner purchased a hybrid. O The probability that a randomly selected Honda Civic owner is male. The probability that a randomly selected Honda Civic owner purchased a hybrid. The probability that a randomly selected hybrid Honda Civic owner is female.

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The accompanying data are from an article. Each of 312 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or
not.
Male
Female
(i) P(male)
Suppose one of these 312 individuals is to be selected at random.
(a) Find the following probabilities. (Round your answers to three decimal places.)
(ii) P(hybrid)
(iii) P(hybrid male)
Hybrid
78
34
(iv) P(hybrid female)
(v) P(female hybrid)
Not Hybrid
117
83
(i) P(male)
(b) For each of the probabilities calculated in part (a), write a sentence interpreting the probability.
The probability that a randomly selected male Honda Civic owner purchased a hybrid.
The probability that a randomly selected female Honda Civic owner purchased a hybrid.
The probability that a randomly selected Honda Civic owner is male.
The probability that a randomly selected Honda Civic owner purchased a hybrid.
O The probability that a randomly selected hybrid Honda Civic owner is female.
Transcribed Image Text:The accompanying data are from an article. Each of 312 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not. Male Female (i) P(male) Suppose one of these 312 individuals is to be selected at random. (a) Find the following probabilities. (Round your answers to three decimal places.) (ii) P(hybrid) (iii) P(hybrid male) Hybrid 78 34 (iv) P(hybrid female) (v) P(female hybrid) Not Hybrid 117 83 (i) P(male) (b) For each of the probabilities calculated in part (a), write a sentence interpreting the probability. The probability that a randomly selected male Honda Civic owner purchased a hybrid. The probability that a randomly selected female Honda Civic owner purchased a hybrid. The probability that a randomly selected Honda Civic owner is male. The probability that a randomly selected Honda Civic owner purchased a hybrid. O The probability that a randomly selected hybrid Honda Civic owner is female.
(ii) P(hybrid)
The probability that a randomly selected male Honda Civic owner purchased a hybrid.
The probability that a randomly selected female Honda Civic owner purchased a hybrid.
The probability that a randomly selected Honda Civic owner is male.
The probability that a randomly selected Honda Civic owner purchased a hybrid.
The probability that a randomly selected hybrid Honda Civic owner is female.
(iii) P(hybrid male)
The probability that a randomly selected male Honda Civic owner purchased a hybrid.
The probability that a randomly selected female Honda Civic owner purchased a hybrid.
The probability that a randomly selected Honda Civic owner is male.
The probability that a randomly selected Honda Civic owner purchased a hybrid.
The probability that a randomly selected hybrid Honda Civic owner is female.
(iv) P(hybrid female)
The probability that a randomly selected male Honda Civic owner purchased a hybrid.
The probability that a randomly selected female Honda Civic owner purchased a hybrid.
The probability that a randomly selected Honda Civic owner is male.
The probability that a randomly selected Honda Civic owner purchased a hybrid.
The probability that a randomly selected hybrid Honda Civic owner is female.
(v) P(female|hybrid)
The probability that a randomly selected male Honda Civic owner purchased a hybrid.
The probability that a randomly selected female Honda Civic owner purchased a hybrid.
The probability that a randomly selected Honda Civic owner is male.
The probability that a randomly selected Honda Civic owner purchased a hybrid.
The probability that a randomly selected hybrid Honda Civic owner is female.
(c) Are the probabilities P(hybrid male) and P(male|hybrid) equal? If not, explain the difference between these two probabilities.
No, the probabilities are not equal. The first is the probability that a male Honda Civic owner purchased a hybrid, and the second is the probability that a hybrid Honda Civic
owner is male.
Yes, the probabilities are equal.
Transcribed Image Text:(ii) P(hybrid) The probability that a randomly selected male Honda Civic owner purchased a hybrid. The probability that a randomly selected female Honda Civic owner purchased a hybrid. The probability that a randomly selected Honda Civic owner is male. The probability that a randomly selected Honda Civic owner purchased a hybrid. The probability that a randomly selected hybrid Honda Civic owner is female. (iii) P(hybrid male) The probability that a randomly selected male Honda Civic owner purchased a hybrid. The probability that a randomly selected female Honda Civic owner purchased a hybrid. The probability that a randomly selected Honda Civic owner is male. The probability that a randomly selected Honda Civic owner purchased a hybrid. The probability that a randomly selected hybrid Honda Civic owner is female. (iv) P(hybrid female) The probability that a randomly selected male Honda Civic owner purchased a hybrid. The probability that a randomly selected female Honda Civic owner purchased a hybrid. The probability that a randomly selected Honda Civic owner is male. The probability that a randomly selected Honda Civic owner purchased a hybrid. The probability that a randomly selected hybrid Honda Civic owner is female. (v) P(female|hybrid) The probability that a randomly selected male Honda Civic owner purchased a hybrid. The probability that a randomly selected female Honda Civic owner purchased a hybrid. The probability that a randomly selected Honda Civic owner is male. The probability that a randomly selected Honda Civic owner purchased a hybrid. The probability that a randomly selected hybrid Honda Civic owner is female. (c) Are the probabilities P(hybrid male) and P(male|hybrid) equal? If not, explain the difference between these two probabilities. No, the probabilities are not equal. The first is the probability that a male Honda Civic owner purchased a hybrid, and the second is the probability that a hybrid Honda Civic owner is male. Yes, the probabilities are equal.
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