The following 6questions (1 to 06 are based on the following summarized data bel
ID: 3245608 • Letter: T
Question
The following 6questions (1 to 06 are based on the following summarized data below Given the upcoming NBA draft, there are 100 players available: No College Experience NCE) Point Guard (PG) Collee Eerience (CE) Shooting Guard (SG) Center (C) Small Forward (SF) Power Forward (PF) 15 20 10 17 16 4 Find the following probabilities: Q1: p(PF) 02: p(C and NCE) 03: p(CE) 04: p(SF/CE) 05: p(not SG) 06: P(CE/PF) You have a kennel that contains all Labrador Retrievers. The kennel has 10 black labs, 6 yellow labs, and 4 chocolate labs. Find the following probabilities Q7: What's the probability that you randomly select a black lab, don't put the lab back, then draw another black lab, don't put the lab back, and then draw another black lab? Q8: What's the probability that you draw a yellow or chocolate lab on the first draw, replace the dog, and then draw a black lab? 09: What's the probability that you draw a yellow lab on the first draw, don't put the lab back, and then draw either a yellow or chocolate lab on the second draw?Explanation / Answer
1)
p(PF) = 16+4 / 100
= 20/100 = 0.2
2)
P(C and NCE) = 8/100 = 0.08
3)
P(CE) = (15 + 20 + 10 + 17 + 16)/100
= 0.78
4)
P(SF/CE) = P(SF and CE)/P(CE)
= 17/100 / 0.78
= 0.17/0.78
= 0.218
5)
P(not SG) = 100 -25/100 = 0.75
6)
P(CE/PF) = P(CE and PF)/P(PF)
= 16/100/0.2
= 0.8