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Question: Voice-controlled video assistants are being incorporated


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?

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