1
MHT CET 2023 9th May Morning Shift
+2
-0

The probability mass function of random variable X is given by

$$P[X=r]=\left\{\begin{array}{ll} \frac{{ }^n C_r}{32}, & n, r \in \mathbb{N} \\ 0, & \text { otherwise } \end{array} \text {, then } P[X \leq 2]=\right.$$

A
$$\frac{1}{3}$$
B
$$\frac{1}{2}$$
C
$$\frac{1}{4}$$
D
$$\frac{1}{5}$$
2
MHT CET 2023 9th May Morning Shift
+2
-0

Three fair coins numbered 1 and 0 are tossed simultaneously. Then variance Var (X) of the probability distribution of random variable $$\mathrm{X}$$, where $$\mathrm{X}$$ is the sum of numbers on the uppermost faces, is

A
0.7
B
0.75
C
0.65
D
0.62
3
MHT CET 2022 11th August Evening Shift
+2
-0

The incidence of occupational disease in an industry is such that the workmen have a $$10 \%$$ chance of suffering from it. The probability that out of 5 workmen, 3 or more will contract the disease is

A
0.000856
B
0.856
C
0.0000856
D
0.00856
4
MHT CET 2022 11th August Evening Shift
+2
-0

If $$P(A \cup B)=0.7, P(A \cap B)=0.2$$, then $$P\left(A^{\prime}\right)+P\left(B^{\prime}\right)$$ is

A
1.1
B
1.6
C
1.8
D
0.6
EXAM MAP
Medical
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