In the 2010 US Census, we learn that 13% of all people in the US are 65 years old or older. If we take a random sample of 9 people, what is the probability that 3 of them are 65 or older? What is the probability that 4 of them are 65 or older? Round your answers to three decimal places. P(X = 3) = P(X = 4) =

Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is  0.4 . A sample of  41  U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places     Find the probability that more than  44%  of the people in this sample have high blood pressure. The probability that more than  44%  of the people in this sample have high blood pressure is    .

66% of college biology students in the United States are female. If we take a random sample of 200 of these students, find the probability that the number of females is at least 135.Write your answer in decimal to four decimal places.

A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.

If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

In a large population, 53% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated? Round your answer to three decimal places.

You host a house party with 4 guests attending. Every guest gets a chance to win a gift by spinning a wheel with 1/3 of a chance of stopping at the winning spot. If you prepare 2 gifts to give away, what is the probability of you being embarrassed for running short of gifts (i.e, there are more winners than the number of gifts). Round your answer to two decimal places (for example: 0.12)

A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 99 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 55 insects will survive? Round your answer to four decimal places.

If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the probability that the Islanders will win exactly three out of three games in a series against the Rangers? Round your answer to the nearest thousandth.

Gg.94.   According to Baseball Insider Magazine 25% of major league pitchers are left-handed. A recent report shows that 60% of left-handed pitcher undergo rotator cuff surgery, while 30% of right-handed pitchers undergo rotator cuff surgery. If a major league pitcher underwent rotator cuff surgery yesterday afternoon, what is the probability that this pitcher was right-handed and underwent rotator cuff surgery?