Let X denote the number of hours you play during a randomly selected day. The probability that X can take values x has the following form, where c is some constant.
\(\mathrm{P}(\mathrm{X}=\mathrm{x})=\left\{\begin{array}{ll} 0.1, & \text { if } \mathrm{x}=0 \\ \mathrm{cx}, & \text { if } \mathrm{x}=1 \text { or } \mathrm{x}=2 \\ \mathrm{c}(5-\mathrm{x}), & \text { if } \mathrm{x}=3 \text { or } \mathrm{x}=4 \\ 0, & \text { otherwise } \end{array}\right.\)
Match List-I with List-II :
|
List - I |
List - II |
||
|
(A) |
c |
(I) |
0.75 |
|
(B) |
P(X ≤ 2) |
(II) |
0.3 |
|
(C) |
P(X = 2) |
(III) |
0.55 |
|
(D) |
P(X ≥ 2) |
(IV) |
0.15 |
Choose the correct answer from the options given below :
1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (IV), (B) - (III), (C) - (II), (D) - (I)
3
(A) - (I), (B) - (II), (C) - (IV), (D) - (III)
4
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)