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1)The probabilities that A and B speak the truth independently are p and q respectively.
If they make the same statement, the probability that the statement is indeed true is ?
2)he probabilities of solving a problem by 3 students are , s and 3 respectively . If each
one of them tries to solve it independently, then the probability that the problem is not
solved is
(a) 2/8
(b) 3/7
(c) 4/21
(d) 5/21
3)he probability mass function p(x) of a random variable X is zero except at points
X = 0, 1, 2 and 3. If C is a constant such that
P(0)= C/2. p(1)=2C-3C^2, p(2)=2C-1, p(3) = C/2
then
(a) C= l and C=2/3
(b) C= 1
(c) C=2/3
(d) C=3/2
4)The score of students in a certain examination is normally distributed with mean 46
and variance 400. Given fi (• 8) = 0.788, where 0 denotes the standard normal
cumulative distribution function, the probability of a student scoring less than 30 is
(a) 0.212 (b) 0.112
(c) 0.222 (d) 0.111
5)uppose equilibrium output is Yo, which is below the full employment level, and the
price level is Po for an aggregate demand and a Keynesian aggregate supply curve. An
increase in government spending will result in
(a) an increase in the price level and no change in the equilibrium level of output
(b) an increase in the equilibrium level of output and the price level
(c) an increase in the equilibrium level of output and a decrease in the price level
(d) an increase in the equilibrium level of output and no change in the price level
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