Let X denotes the number of hours a person uses a mobile and the probability distribution of X is as

Then the value of K is

0.15

The correct answer is Option (1) → 0.15

Given the probability distribution:

Sum of all probabilities must equal 1:

$0.1 + K + 2K + 2K + K = 1$

$0.1 + 6K = 1$

$6K = 1 - 0.1 = 0.9$

$K = \frac{0.9}{6} = 0.15$