A recent report by PEW Research Center, published on February 25, 2022 summarizes American views on Russia threat as follows. “When it comes to rising U.S.- Russia tensions, an early January survey...

A recent report by PEW Research Center, published on February 25, 2022 summarizes American views on Russia threat as follows. “When it comes to rising U.S.- Russia tensions, an early January survey found that 26% of Americans considered the Russian military buildup near Ukraine to be a major threat to U.S. interests, while 33% said it was a minor threat to U.S. interests. Another 7% said it was no threat at all. A relatively large share of U.S. adults (33%) said they were not sure how Russian actions toward Ukraine affected U.S. interests.” Answer the questions based on the proportions listed above.

(a) Use the binomial distribution to estimate the probability that more than half of 20 randomly selected US adults consider Russian military buildup near Ukraine to be a major or a minor threat to U.S. interests.

(b) Use the normal approximation to estimate the probability that more than half of 20 randomly selected US adults consider Russian military buildup near Ukraine to be a major or a minor threat to U.S. interests.