1
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
2
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
$\frac{2}{17}$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\begin{aligned} &\text { The pdf of a random variable } X \text { is }\\ &\begin{aligned} f(x) & =3\left(1-2 x^2\right), & & 0< x<1 \\ & =0 & & \text { otherwise } \end{aligned} \end{aligned}$$

The $P\left(\frac{1}{4}< x<\frac{1}{3}\right)=\ldots$

A
$\frac{179}{864}$
B
$\frac{159}{864}$
C
$\frac{169}{864}$
D
$\frac{189}{864}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A player tosses 2 fair coins. He wins Rs. 5 if 2 heads appear, Rs. 2 If 1 head appear and Rs. 1 if no head appears, then variance of his winning amount is

A
6
B
$\frac{5}{2}$
C
$\frac{9}{4}$
D
$\frac{17}{2}$
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