Answer:
The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.
Step-by-step explanation:
We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes). 
A random sample of 10 of these customers is selected.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 10 customers
             r = number of success = 30% of 10 = 3
             p = probability of success which in our question is the probability 
                   that telephone users do not have landlines in their homes,
                    i.e. p = 30% 
Let X = <u><em>Number of telephone users who do not have landlines in their homes</em></u>
So, X ~ Binom(n = 10, p = 0.30)
Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)
            P(X = 3) =   
 
                          =   
 
                          =  <u>0.2668</u>