1
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
A random variable has the following probability distribution
| $\mathrm{X:}$ | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| $\mathrm{P}(x):$ | 0 | $\mathrm{2p}$ | $\mathrm{2p}$ | $\mathrm{3p}$ | $\mathrm{p^2}$ | $\mathrm{2p^2}$ | $\mathrm{7p^2}$ | $\mathrm{2p}$ |
Then the value of p is
2
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that A or B occurs is $\frac{1}{2}$, then the probability of both of them occur together is
3
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
A random variable $X$ has the following probability distribution
| $\mathrm{X:}$ | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| $\mathrm{P(X):}$ | $\mathrm{k^2}$ | $\mathrm{2k}$ | $\mathrm{k}$ | $\mathrm{2k}$ | $\mathrm{5k^2}$ |
Then $\mathrm{P(X > 2)}$ is equal to
4
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability, that a student will get 4 or more correct answers just by guessing, is
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