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11.Ps) or 1735 people who came into a blood bank to give blood, 373 had high blo

ID: 3300154 • Letter: 1

Question

11.Ps) or 1735 people who came into a blood bank to give blood, 373 had high blood pressure Estimate the pressure. Round to three decimal places, 12. (10 Pts) A card is selected at random from a standard deck of 52 cards. What is the probability that the card is: 1. King 2. Black suit 3. Not a diamond 4. King given the card is a black suit 5. Ace 13. (6 Pts) Given two events, A and B where P(A)- 0.3, P(B) 0.6, and P(A&B;) 0.2 a) Are A and B independent? Show numbers to support your answer. b) Are A and B mutually exclusive? Show numbers to support your answer. Page 5 of 5

Explanation / Answer

11)
We can estimate the probability of a person with high blood pressure from the given data of 373 high blood pressure persons in 1735.

Hence probability that next person will have high blood pressure, p = 373/1735 = 0.215

12)
Selecting a card from a deck of 52 cards can be done in 52C1 ways.

(a)
There are 4 kings in a deck of 52 cards,
Selecting a king can be done in 4C1 ways.
Hence probability of selecting a king, P(King) = 4/52 = 0.0769

(b)
There are total 26 black suit cards,
P(Black suit) = 26C1/52C1 = 26/52 = 0.5

(c)
There are total 39 non-diamonds cards
P(Not Diamond) = 39C1/52/C1 = 39/52 = 3/4 = 0.75

(d)
There are two black suit king cards
P(Black suit king) = 2/52 = 0.03846

(e)
There are 4 ace cards
P(Ace) = 4/52 = 0.0769