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

The probability that bomb will miss the target is 0.2. Then, the probability that out of 10 bombs dropped exactly 2 will hit the target is

A
$$\frac{288}{5^9}$$
B
$$\frac{144}{5^{10}}$$
C
$$\frac{288}{5^{10}}$$
D
$$\frac{144}{5^9}$$
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The letters of the word 'LOGARITHM' are arranged at random. The probability that arrangement starts with vowel and end with consonant is

A
$$\frac{1}{9}$$
B
$$\frac{7 !}{9 !}$$
C
$$\frac{18}{9 !}$$
D
$$\frac{1}{4}$$
3
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
$$\frac{1}{18}$$
4
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
$$P(X \leq 3) \leq P(X \geq 3)$$
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