Question

A sample of 400 adults found that 75 do not like cold weather. However, 92 of those studied said that they had an interest in taking skiing lessons. Based on this sample, if an adult is chosen at random, what is the probability that he or she has no desire to take skiing lessons?

1) 0.1875
2) 0.2125
3) 0.225
4) 0.2625

Answer 1

To find the probability that an adult chosen at random from a sample has no desire to take skiing lessons, subtract the number interested in lessons from the total sample and divide by the total sample size. The result for 400 adults, with 92 interested in lessons, is a probability of 0.77.

Step-by-step explanation:

The student asked about the probability that an adult chosen at random from a sample of 400 adults has no desire to take skiing lessons. Since 92 adults expressed interest in skiing lessons, this implies that 400 - 92 adults are not interested in skiing lessons. Therefore, the number of adults with no interest in skiing lessons is 308 (which is 400 - 92).

To find the probability, we divide the number of adults with no interest in skiing lessons by the total sample size: Probability = Number of adults with no interest / Total number of adults = 308 / 400 = 0.77. This answer is not on the provided list of options, suggesting there might be a mistake in the question or options.