When employees with smart phones are randomly selected, 50 % use them for office purpose. The probability that out of 10 users exactly 2 of them use for office purpose is

Step-by-step solution

Let success is to select a smart phone and it is for office purpose. p= 1 2 , q=1-p=1- 1 2 = 1 2 Now, probability that out of 10 users exactly 2 of them use for office purpose = Probability of setting exactly 2 success out of 10 trial aligned & = ¹⁰ C₂ p^2 q^8 [ [P(X=r)= ^n C_r p^r q^ n-r ] . & = ¹⁰ C₂ ( 1 2 )^2 ( 1 2 )^8= ¹⁰ C₂ ( 1 2¹⁰ ) aligned