What is the mean of the numbers 15, 25, 30, 85 and 45? (A) 35 (B) 20 (C) 30 (D)

Question

What is the mean of the numbers 15, 25, 30, 85 and 45? (A) 35 (B) 20 (C) 30 (D) 40 If X is an integer and Y is an odd integer, what is the probability that X -Y is odd? (A) 0 (B) 1/2 (C) 1/4 (D) 1 A pair of dice is rolled. What is the probability that the sum is 8? (A) 5/36 (B) 6/36 (C) 7/36 (D) 8/36 A box contains S chips; 4 blue, 3 green, and 1 red. If 2 chips are drawn at random and without replacement, what is the probability that one chip is blue and the other green? (A) 1/2 (B) 5/6 (C) 3/7 (D) 1/9 Find the number of distinguishable permutations of six colored blocks if one is red, two are yellow, and three are blue (A) 360 (B) 60 (C) 720 (D) 120 The random variable X, is discrete and uniformly distributed with values 1, 2, 3, 4, 5. The variance of X is (A) 1 (B) 2 (C) 3 (D) 4 The number of different ways, not counting rotations, to seat 5 different people around a circular table is (A) 24 (B) 36 (C) 120 (D) 240 How many ways can 8 teachers be divided among 4 schools if each school must receive 2 teachers? (A) 520 (B) 250 (C) 2520 (D) 550 If P(A) = 0.7, P(B) = 0.5 and P([A union B]) = 0.1 then P(A intersection B) is (A) 5/7 (B) 3/5 (C) 5/9 (D) 3/10 If the distribution function of the random variable X is given by

Explanation / Answer

1)

sum of all observation = 15+25+30+85+45 = 200

Mean = 200/5 = 40

Mean = 40

2) Property of even and odd number is , Even - odd = odd

So P( x - y is odd ) = 1

3)

Total number of outcomes when pair of die is rolled is 36

Total number of outcomes such that sum of numbers is 8 = 5 ( outcoms are (2,3) ,(3,5), (4,4),(5,3) ,(6,2) }

P( sum of number is 8 ) = 5/36

4)

There are 8 chips in box.

Total number of ways to select 2 chips from 8 is 8C2 = 28

Total number of ways to select one blue and one green chips = 4C1 * 3C1* 1C0 = 12

P( one chip is blue and other is green ) = 12/28 = 3/7

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