QUESTION RA) = 0.3, then what is RAC) ? QUESTION 2 Suppose that A and B are inde

Question

QUESTION RA) = 0.3, then what is RAC) ? QUESTION 2 Suppose that A and B are independent events with: PA)-0.4 FK5)-0.7 Calculate: AUB a. 0.56 b.0.14 G.0.76 od.0.82 QUESTION 3 If you flip a fair coin 10 times, what is the probability of getting at least one tail? Let X-# talis QUESTION 4 If you flip a fair coin 10 times, what is the probability of getting all tails? QUESTION 5 Suppose we have the following data: Calculate the fo owing: PAUB, PA 8 and PBIA) a. 0.68, 0.1, 0.04 b.0.25, 0.5, 0.1 C.0.43, 0.25, 0.05 d.0.1,0.33, 0.04 QUESTION 6 If you flip a far coin 10 times, what is the probability of getting all heads. ×=# heads, then we want PCx= 10)

Explanation / Answer

1)P(Ac)=1-P(A) =1-0.3 =0.7

2)

P(A u B)=P(A)+P(B)-P(A)*P(B)=0.4+0.7-0.4*0.7=0.82

3)

P(at least one tail)=1-P(all heads)=1-(1/2)10 =1-1/1024 =1023/1024 =0.999023

4)

P(all tails)=(1/2)10 =1/1024 =0.000977

5)

P(A u B)=P(A)+P(B)-P(A n C)=0.5+0.2-0.02=0.68

P(A|B)=P(A n B)/P(B)=0.02/0.2=0.1

P(B|A)=P(A n B)/P(A)=0.02/0.5=0.04

option A is correct

6)

P(all heads)=(1/2)10 =1/1024=0.000977

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