1
MHT CET 2021 20th September Evening Shift
+2
-0

The p.m.f. of a random variable X is $$\mathrm{P(X = x) = {1 \over {{2^5}}}\left( {_x^5} \right),x = 0,1,2,3,4,5}=0$$ then

A
$$\mathrm{P}(\mathrm{X} \leq 2)<\mathrm{P}(\mathrm{X} \geq 3)$$
B
$$\mathrm{P}(\mathrm{X} \leq 2)>\mathrm{P}(\mathrm{X} \geq 3)$$
C
$$\mathrm{P}(\mathrm{X} \leq 2)=2 \mathrm{P}(\mathrm{X} \geq 3)$$
D
$$\mathrm{P}(\mathrm{X} \leq 2)=\mathrm{P}(\mathrm{X} \geq 3)$$
2
MHT CET 2021 20th September Evening Shift
+2
-0

The variance of the following probability distribution is,

A
$$\frac{1}{8}$$
B
$$\frac{5}{8}$$
C
$$\frac{1}{4}$$
D
$$\frac{3}{8}$$
3
MHT CET 2021 20th September Evening Shift
+2
-0

If the sum of mean and variance of a binomial distribution for 5 trials is 1.8, then probability of a success is

A
0.2
B
0.6
C
0.4
D
0.8
4
MHT CET 2021 20th September Evening Shift
+2
-0

Two unbiased dice are thrown. Then the probability that neither a doublet nor a total of 10 will appear is

A
$$\frac{1}{12}$$
B
$$\frac{1}{36}$$
C
$$\frac{2}{9}$$
D
$$\frac{7}{9}$$
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