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S_A_V [24]
3 years ago
9

A class contains 10 sophomores, 15 juniors, and 20 seniors. A committee of 5 students is to be chosen. Each student is equally l

ikely to be selected to serve on the committee. Let A be the event exactly 3 juniors are selected to serve on the committee. Let B be the event exactly 2 seniors are selected to serve on the committee.
Required:
a. Find P(A)
b. Find P(A| B)
Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

P(A) = 0.1620 , P(A|B) = 0.0707

Step-by-step explanation:

Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20

P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620  

P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576

P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)

(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707

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Step-by-step explanation:

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Step-by-step explanation:

To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.

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2 years ago
Suppose a polygon has 72 sides. If the polygon is regular, what is its angle of rotation?
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Step-by-step explanation:

given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999

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