A news company reported that 8% of adult Americans have a food allergy. Consider selecting 10 adult Americans at random. Define the random variable x as x = number of people in the sample of 10 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.)
a) P(x < 3)
b) P(x ≤ 3)
c) P(x ≥ 4)
d) P(1 ≤ x ≤ 3)