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 (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(femalelhybrid) (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. O 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) 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. O 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. (iii) P(hybrid 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. O 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. (iv) P(hybrid female) 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. O 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. (v) P(female hybrid) 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. O 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. (c) Are the probabilities P(hybrid male) and P(malelhybrid) equal? If not, explain the difference between these two probabilities. O No, the probabilities are not equal. The first is the probability that a hybrid Honda Civic owner is male, and the second is the probability that a male Honda Civic owner purchased a hybrid. O 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. O Yes, the probabilities are equal.