The correct option is 0.9098. The probability that at least 16 Californians prefer hot weather over cold weather is 0.9098.
According to a survey, 67.5% of Californians prefer hot weather over cold weather. Let X = number of Californians in a sample of 19 who prefer hot weather over cold weather. Then, the probability that at least 16 Californians prefer hot weather over cold weather can be calculated by using the cumulative binomial probability formula. Let X = the number of Californians in a sample of 19 who prefer hot weather over cold weather.
The formula for calculating the cumulative binomial probability is: P(X≥k) = ∑i=kn P(X=i)
In this example, k = 16, n = 19, and P(X=i) = 0.675
Therefore, P(X≥16) = ∑i=1619 P(X=i) = 0.9098
You can learn more about probability at: brainly.com/question/30034780
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