1
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1
Out of Syllabus

If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or two successes is :

A
$$\frac{33}{2^{32}}$$
B
$$\frac{33}{2^{29}}$$
C
$$\frac{33}{2^{28}}$$
D
$$\frac{33}{2^{27}}$$
2
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

If the numbers appeared on the two throws of a fair six faced die are $$\alpha$$ and $$\beta$$, then the probability that $$x^{2}+\alpha x+\beta>0$$, for all $$x \in \mathbf{R}$$, is :

A
$$\frac{17}{36}$$
B
$$\frac{4}{9}$$
C
$$\frac{1}{2}$$
D
$$\frac{19}{36}$$
3
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1
Out of Syllabus

If a random variable X follows the Binomial distribution B(5, p) such that P(X = 0) = P(X = 1), then $${{P(X = 2)} \over {P(X = 3)}}$$ is equal to :

A
1
B
10
C
25
D
5
4
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to :

A
$${5 \over {16}}$$
B
$${9 \over {16}}$$
C
$${11 \over {16}}$$
D
$${13 \over {16}}$$
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