In a statistics class of 44 students, there were 15 men and 29 women. Four of the men and five of the women received an A in the course. A student is chosen at random from the class. (a) Find the probability that the student is a woman. (b) Find the probability that the student received an A. (c) Find the probability that the student is a woman or received an A. (d) Find the probability that the student did not receive an A.

(a) The probability that the student is a woman is 0.6591.

(b) The probability that the student received an A is 0.2045.

(c) The probability that a student selected is a woman or received an A is 0.75.

(d) The probability that a student did not receive an A is 0.7955.

Step-by-step explanation:

The total number of students in the class is, N = 44.

The number of men, n (M) = 15.

The number of women, n (W) = 29.

The number of men who receive an A is, n (M ∩ A) = 4.

The number of women who receive an A is, n (W ∩ A) = 5.

The number of students who received an A, n (A) = 9.

(a)

The probability that a randomly selected students is a woman is:

Thus, the probability that the student is a woman is 0.6591.

(b)

The probability that a randomly selected student received an A is:

Thus, the probability that the student received an A is 0.2045.

(c)

The probability that a student selected is a woman or received an A is:

Thus, the probability that a student selected is a woman or received an A is 0.75.

(d)

The probability that a student did not receive an A is:

Thus, the probability that a student did not receive an A is 0.7955.

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step-by-step explanation: