Page 181 - Engineering Mathematics Workbook_Final

Probability & Statistics

3 3 probability that the selected
(c) (d)
64 16 individual actually has the disease is
_______
[MS 2007]
(a) 0.01 (b) 0.05
102. Let E and F be two events such that
0  P ( ) 1E  and (c) 0.5 (d) 0.99

( / F +
=
( /
P E ) P E F C ) 1. Then [MS 2009]
____ 105. Let X be a random variable with
mean µ and variance 9. Then the
(a) E and F are mutually exclusive
smallest value of m such that

(b) E and F are independent P ( X −   m )  0.99 is
(
=
P
(c) ( E C / F + ) P E C / F C ) 1 __________
(a) 90 (b) 90
C
C
(d) P(E/F)+P(E /F )=1 [MS 2007]
100
103. Let X be Poisson (2) and Y be (c) (d) 30
Binomial (10,3/4) random variables. 11
If X and Y are independent then [MS 2009]

P ( XY = ) 0 is ________
106. The random variable X has the
 1  10 cumulative distributive Function
−
(a) e + − 2       (1 e − 2 )  0 if x  0
 4  

 1
 1  10  3 if x = 0


(b) e + − 2       (1 2e− − 2 ) F ( ) x = 
1 x
 4   + if 0 x  1


 3

1
10
(c) −2 ( )  1 if x  1

4 
 4  10 then E(X) equals ____________
(d) e + − 2 1−       [MS 2008]
1
 10  (a) (b) 1
3
104. For detecting a disease, a test gives
correct diagnosis with probability (c) 1 (d) 1
0.99. It is known that 1% of a 6 2

population suffers from this disease.
If randomly selected individual from [MS 2009]
this population test positive then the

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