1
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The p.d.f of c.r.v $$X$$ is given by $$f(x)=\frac{x+2}{18}$$, if $$-2

A
$$\frac{2}{9}$$
B
$$\frac{4}{9}$$
C
$$\frac{1}{9}$$
D
$$\frac{1}{18}$$
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the p.m.f of a. r.v. $$X$$ is given by

$$P(X=x)=\frac{{ }^5 C_x}{2^5}$$

if $$x=0,1,2, \ldots \ldots . .5=0$$,

0 , otherwise,

then which of the following is not true?

A
$$P(X \leq 2)=P(X \geq 3)$$
B
$$P(X \leq 1)=P(X \geq 4)$$
C
$$P(X \leq 2) \geq P(X \geq 4)$$
D
$$P(X \leq 3) \leq P(X \geq 3)$$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $X$ be the number of successes in ' $n$ ' independent Bernoulli trials with probability of success $p=\frac{3}{4}$. The least value of ' $n$ ' so that $P(X \geq 1) \geq 0.9375$ is ......

A
2
B
1
C
4
D
3
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability that three cards drawn from a pack of 52 cards, all are red is

A
$\frac{1}{17}$
B
$\frac{4}{17}$
C
$\frac{3}{17}$
D
$\frac{2}{17}$
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