It is said that the probability that a genuine item will be evaluated as an imitation is 0.05, and the the probability that an imitation will be evaluated as an imitation is 0.9.

Given that a random person has a degree in computer science, the probability that they work as a software engineer is 0.33. Suppose 0.073 is the probability that a person has a degree in computer science. What is the probability that a person is a software engineer and has a degree in computer science?

In a certain year, the probability that a stock was in the Information Technology sector was 0.1302. The probability that the stock had a dividend yield of 2.00% or higher given that it was in the Information Technology sector was 0.2985. The probability that a stock had a dividend yield of 2.00% or higher given that it was not in the Information Technology sector was 0.4414. Find the probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher. ..... Let F be the event that a stock was in the Information Technology sector and E be the event that a stock had a dividend yield of 2.00% or higher. P(F) = .1302 and P (F') = .8698 The probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher is (Do not round until the final answer. Then round to four decimal places as needed.)

A group of people were asked if giving children sugar makes them hyper. 621 responded "Yes", and 650 responded "No". Find the probability that if a person is chosen at random, the person believes giving children sugar makes them hyper. State your answer as a decimal rounded to 4 decimal places. Probability =