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A campus student club distributed material about membership to new students attending an orientation meeting. Of those receiving this material 40% were men and 60% were women. Subsequently, it was found that 7% of the men and 9% of the women who received this material joined the club. Complete parts a and b below. a. Find the probability that a randomly chosen new student who receives the membership material will join the club. (Round to four decimal places as needed.) b. Find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman. (Round to four decimal places as needed.)