1
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $X$ is a.r.v. with c.d.f $F(x)$ and its probability distribution is given by

$X=x$ $-1.5$ $-0.5$ 0.5 1.5 2.5
$P(X=x)$ 0.05 0.2 0.15 0.25 0.35

then, $F(1.5)-F(-0.5)=$

A
0.2
B
0.4
C
0.1
D
0.3
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The odds in favour of drawing a king from a pack of 52 playing cards is

A
$$1: 4$$
B
$$4: 1$$
C
$$12: 1$$
D
$$1: 12$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

Out of 100 people selected at random, 10 have common cold. If five persons selected at random from the group, then the probability that at most one person will have common cold is

A
0.9851
B
0.9185
C
0.9245
D
0.9254
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The pdf of a continuous r.v. $$X$$ is given by $$f(x)=\frac{x}{8}, 0 < x < 4=0$$, otherwise, then $$P(X \leq 2)$$ is

A
$$\frac{1}{4}$$
B
$$\frac{5}{16}$$
C
$$\frac{9}{16}$$
D
$$\frac{7}{16}$$
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