2. Would you like to travel in space, if given a chance? According to Opinion Research for Space Day Partners, if your answer is yes, you are not alone.

Forty-four percent of adults surveyed agreed that they would travel in space if given a chance. Look at Figure 5-8, and use the information presented to answer the following questions.

(a) According to Figure 5-8, the probability that an adult selected at random agrees with the statement that humanity should explore planets is 64%.
Round this probability to 65%, and use this estimate with the binomial distribution table to determine the probability that of 10 adults selected at random, at least half would agree that humanity should explore planets.

(b) Does space exploration have an impact on daily life? Find the probability that of 10 adults selected at random, at least 9 would agree that space exploration does have an impact on daily life. Hint: Use the formula for the binomial distribution.

(c) In a room of 35 adults, what is the expected number who would travel in space, given a chance? What is the standard deviation?

(d) What is the probability that the first adult (selected at random) you asked would agree with the statement that space will be colonized in the person’s lifetime? Hint: Use the geometric distribution.

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The Final Frontier: Want to Go? Percentage of adults who agree with these statements about the USA's space program Youth should want to be astronauts. Humanity should explore planets. Space exploration impacts daily life. 57% Given a chance I'd travel in space. 44% Space will be colonized in my lifetime. 18% Source: Opinion Research for Space Day Partners 77% 64%