1
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
$$\frac{7}{16}$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If a die is thrown at random, then the expectation of the number on it is

A
2.4
B
3.3
C
2.1
D
3.5
3
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
$$\frac{144}{5^9}$$
4
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
$$\frac{1}{4}$$
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