Voice-controlled video assistants are being incorporated into a wide variety of consumer products, including smartphones, tablets, and stand-alone devices such as the Amazon Echo or Google Home. A Pew Research poll found that 46% of Americans reported using a voice-controlled digital assistant. Suppose a group of 50 Americans is randomly selected.

a. Find the probability that more than half of the sample uses a voice- controlled digital assistant.

b. Find the probability that at most 20 use a voice controlled digital assistant.

c. In a group of 50 Americans, how many would we expect use one of these devices?

d. Find the standard deviation for this binomial distribution. Using your answers to parts c and d, would it be surprising to find that fewer than 10 used one of these devices? Why or why not?