Suppose that historically, 35% of applicants that are offered admittance to Texas Tech actually enroll, while the others take offers somewhere else. If Texas Tech will accept 9000 this coming year, what is the probability that less than 34.1654% will actually enroll?

Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What is the probability she forgets her wallet at least once in the next ten days she goes to work?

If a seed is planted, it has a 95% chance of growing into a healthy plant.If eleven seeds are planted, what is the probability that exactly three don't grow?

The probability of the Dow Jones index rising on the first day of trading next week is thought to be 0.6. If it does rise then the probability that the value of shares in a publishing company will rise is 0.8. If the index does not rise then the publishing company’s shares will only have a 0.3 probability of rising. What is the probability that the publishing company’s shares will rise in value on the first day of trading next week?

Suppose 48% of the registered voters in a country are Republican. If a sample of 586 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 42%? Round your answer to four decimal places.

Suppose that 51% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 41% end up investing in bonds, and 61% end up investing in stocks or bonds (or both). What is the probability that a person who inquires about investments at this firm will invest in both stocks and bonds? Write your answer as a decimal (not as a percentage).

Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?