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one alte cannot be In a recent semester at a local university, 500 students enro

ID: 3362117 • Letter: O

Question

one alte cannot be In a recent semester at a local university, 500 students enrolled in both General Chemistry and Calculus I. Of these students, 66 received an A in general chemistry, 73 received an A in calculus, and 33 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student received an A in general chemistry or calculus or both. A) 0.763 B) 0.278 C) 0.212 0.344 6) A lot of 1000 components contains 250 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective Find P(B and A). A) 0.004 B) 0.25 C) 0.2492 D) 0.0623 7) There are 3 first grade children, 5 second grade children, and 7 third grade children in a room. When choosing two children, what is the conditional probability of choosing a second grade child, given that either a first or a third grade child was chosen first? A) D) B) C) 14 8) At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entree, a side dish, and a dessert. There are 4 choices for the entree, 3 choices for the side dish, and 3 choices for dessert. How many different meal deals are possible? A) 36 B) 120 C) 10 D) 33

Explanation / Answer

As per the Chegg policy, we are advised to do one question at a time still i am attempting 5th and 6th.

5. P(A in Chemistry or Calculus)

= P(A in Chemistry) + P(A in Calculus) - P(A in Chemistry and Calculus)

= (66 + 73 - 33)/500

= 53/250

= 0.212

Option C is correct.

6. P(A and B)

= P(Both components drawn are defective)

= (250/1000)*(249/999)

= 0.0623

Option D is correct.