Do all pls...It will help me on test ONAL FORM. Each of the 5 questions is worth

Question

Do all pls...It will help me on test

ONAL FORM. Each of the 5 questions is worth 5 points. 1. A fair die is tossed. a. List the elements in the sample space: lf A (1,2), B (2, 4, 6), and c (1,2,3,4) find the following probabilities: b. P (A n B) c. P (A I B) d. P (B I A) e, P (AUC) 2. 1. A factory has two machines producing flash drives. 70% of the flash drives are produced from the first machine. The machines have a 20% and 10% failure rate respectively. Find the probability that a defective flash drive came from the second machine

Explanation / Answer

1.

a.A die is tossed then the sample space is,

S = {1,2,3,4,5,6}

b.

A={1,2} B={2,4,6} and C = {1,2,3,4}

A B = {2}

hence P(A B) = 1/6
  
Means we have to find out the common elements in A and B.

c.

P(A/B) = P(AB)/P(B)

P(B) = 3/6 = 1/2

P(A/B) = 1/6 / 1/2

= 1/3

d.

P(B | A) = P(AB)/P(A)

P(A) = 2/6 = 1/3

P(B | A) = 1/6 / 1/3

= 1/2

4a.

arithmatic sequence 1,1/2,0,-1/2

i). find the 20 th term

X20 = a+d(n-1)

a = first term = 1
d = difference = -1/2

x20 = 1+ (-1/2)(20-1)
= -17/2

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