a. Let E be the event that a city in New York was founded before the year 1900. Determine p(E). Answer: b. Let X be the event that a city in New York has a population larger than 20,000 people. Determine p(X). Answer:
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- Assume that A and B are independent events. The probability of event A is 0.38 while the probability of event B is 0.77. Assume that you observe that event B has occurred, what is the probability of event A? Submit your answer to the second decimal point, that is, 0.32 instead of 0.3.Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a random sample of n=20 that have a microwave oven. Find the probability that X is at most 18 and at least 16.Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
- The probability that a patient correctly diagnosed by a doctor with a rare stomach disease is 0.4. If 15 people are known to have contracted this disease, what is the probability that: a. Exactly 5 diagnosed correctly? b. From 5 to 7 diagnosed correctly?Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fractionSuppose the probability that a randomly selected PGA Tour player uses a Titleist brand golf ball is 0.6. For a sample of 10 PGA Tour players: a. find the probability that more than 7 use a Titleist brand golf ball. b. find the probability that at most 5 is using a Titleist brand golf ball Show your works and use the table.
- The following is a table showing the results of a poll taken on campus. Will You Vote in the Upcoming Election? Male Female Yes 24 22 No 20 30 Not decided 28 38 What is the probability that a randomly selected student from this poll has decided to vote in the upcoming election? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.Which of the following do you think could possibly be true? A. The number of students enrolled at a university decresed by 100% from last year B. The probability that an NFL team win the super bowl this year is 110% C. A student flips a coin 10 times and obeserves 65% of the time the coin lands on tails D.85% of students at a university are enrolled full-TimeA group of people were asked if they had run a red light in the last year. 487 responded "yes", and 184 responded "no". Find the probability that if a person is chosen at random, they responded "yes". Answer: Give your answer as a decimal, rounded to the nearest thousandth.
- B. Two air force helicopters have a mission to strike and shoot a target in enemy land, the probability that the first pilot hit the target is (1/2), the probability that the second pilot hit the target is (1/4). What the probability that a. The first and second pilot shoot the target? b. One of them shoot the target?A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?Given P(A) = 0.10, P(B) = 0.63, P(C) = 0.53 and that events A, B, and C are independent, what is P(A, B, and C). Answer in decimal form. Round to 3 decimal places as needed.