Sports and other outdoor activities. In February 2020, Statistics Norway conducted a survey on sports and outdoor activities like hiking, fishing, jogging, and yoga (https://www. ssb.no/en/fritid/). Out of 6,010 survey respondents aged 16 years and above, about 75% take part in regular sports and outdoor activities. Of these, 77% go for short distance walks. In a random sample of 25 survey respondents, consider the number (x) of people who take part in sports and outdoor activities regularly and go on short distance walks as one of their outdoor activities.

a. Explain why x is (approximately) a binomial random variable.

b. Use the rules of probability to determine the value of p for this binomial experiment.

c. Assume p = 0.6. Find the probability that at least 10 of the 25 survey respondents take part in sports and outdoor activities regularly and go on short distance walks as one of their outdoor activities.