Question

ccording to the U.S. Census Bureau, 31.7% of Floridians have earned a bachelor's degree. Let be the proportion of people that have earned a bachelor's degree in a random sample of 912 Floridians. Determine the following probabilities. Round solutions to four decimal places, if necessary, Find the probability that in a random sample of 912 Floridians, less than 35.8% have earned a bachelor's degree. P(p <0.358) Find the probability that in a random sample of 912 Floridians, between 30.4% and 34% have earned a bachelor's degree. P(0.304 < p <0.34)

Answer 1

The probability that in a random sample of 912 Floridians, less than 35.8% have earned a bachelor's degree is approximately 0.8917.

Step-by-step explanation:

To find the probability that in a random sample of 912 Floridians, less than 35.8% have earned a bachelor's degree, we need to calculate the cumulative probability up to 35.8%.

Using the cumulative distribution function for a binomial distribution, we can find the probability.

The formula is P(p < 0.358) = F(0.358; n, p), where F is the cumulative distribution function.

In this case, n = 912 (sample size) and p = 0.317 (proportion of people with a bachelor's degree in Florida).

Using a binomial calculator or statistical software, we can find that P(p < 0.358) is approximately 0.8917.