1
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two dice are rolled. If both dice have six faces numbered $$1,2,3,5,7,11$$, then the probability that the sum of the numbers on upper most face is prime, is

A
$$1 / 4$$
B
$$3 / 4$$
C
$$1 / 9$$
D
$$2 / 7$$
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A random variable $$X$$ has the probability distribution

$$X=x$$ 1 2 3 4 5 6 7 8
$$P(X=x)$$ 0.15 0.23 0.12 0.20 0.08 0.10 0.05 0.07

For the events $$E=\{X$$ is a prime number $$\}$$ and $$F=\{x<5\}, P(E U F)$$ is

A
0.63
B
0.75
C
0.83
D
0.90
3
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable $$X$$ has the following probability distribution

$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P(X}=x)$$ $$\mathrm{4k-10k^2}$$ $$\mathrm{5k-1}$$ $$\mathrm{3k^3}$$

then P(X < 2) is

A
$$\frac{2}{9}$$
B
$$\frac{5}{9}$$
C
$$\frac{8}{9}$$
D
$$\frac{4}{9}$$
4
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $$\mathrm{X}$$ be random variable having Binomial distribution $$B(7, p)$$. If $$P[X=3]=5 P[X=4]$$, then variance of $$\mathrm{X}$$ is

A
$$\frac{7}{6}$$
B
$$\frac{35}{36}$$
C
$$\frac{77}{36}$$
D
$$\frac{1}{36}$$
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