1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X has the following probability distribution

$$\mathrm{X=x}$$ 0 1 2 3 4 5 6 7
$$\mathrm{P[X=x]}$$ 0 $$\mathrm{k}$$ $$\mathrm{2k}$$ $$\mathrm{2k}$$ $$\mathrm{3k}$$ $$\mathrm{k^2}$$ $$\mathrm{2k^2}$$ $$\mathrm{7k^2+k}$$

then F(4) =

A
$$\frac{3}{10}$$
B
$$\frac{1}{10}$$
C
$$\frac{7}{10}$$
D
$$\frac{4}{5}$$
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Rajesh has just bought a VCR from Maharashtra Electronics and the shop offers after sales service contract for Rs. 1000 for the next five years. Considering the experience of VCR users, the following distribution of maintenance expenses for the next five years is formed.

Expenses 0 500 1000 1500 2000 2500 3000
Probability 0.35 0.25 0.15 0.10 0.08 0.05 0.02

The expected value of maintenance cost is :

A
Rs. 800
B
Rs. 770
C
Rs. 700
D
Rs. 900
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$X \sim B(4, p)$$ and $$P(X=0)=\frac{16}{81}$$, then $$P(X=4)=$$

A
$$\frac{1}{81}$$
B
$$\frac{1}{16}$$
C
$$\frac{1}{8}$$
D
$$\frac{1}{27}$$
4
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
$$\frac{144}{5^9}$$
MHT CET Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12