In a binomial experiment, the probability of success is the same on every trial. True False
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In a binomial experiment, the
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- A disease occurs in 1% of the population. A diagnostic test gives a positiveresult in: 99% of people with the disease;5% of people without the disease(false positive). A person receives a positive result;What is the probabilityof them having the disease, given a positive result?Thirty percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, what is the probability that none will be for a kidney problem? (Round to 4 digits, ex. 0.1234)Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 122 heads. We wish to find how significant is this evidence against equal probabilities. What is the sample proportion of heads? Round to 3 places. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different?Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? H0: p = 0.5H0: p ≠ 0.5 H0: p = 0.5H0: p > 0.5 H0: p = 0.5H0: p < 0.5 H0: p ≠ 0.5H0: p = 0.5 Compute the z test statistic.z = Round to 2 places.
- Johnny has rolled a pair of standard fair six-sided dice. Given that one of the two dice shows 3 dots, what is the probability that the sum of the number of dots showing on both dice is even?The flu test is 100% positive when flu is present. It gives a false positive in 10% of the tests when the flu is not present. If 1% of the population has this flu, what is the probability that someone has flu given that his test is positive?A long-term study revealed that 94% of the men for whom a test was negative do not have cancer. If a man selected at random tests negative for cancer with this test, what is the probability that he does have cancer?
- In a three-coin experiment, what is the probability of getting no tails?Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?Suppose a free throw shooter makes 67 percent of their first attempts. On the second attempt they make 81 percent if they had made their first attempt, but 59 percent if they had miss. What is the probability that they make one of two attempts (one or the other attempt, but not both)?
- In a certain high school, 11% of the students like math, while 18% of the students like chemistry. The probability that the chosen student likes both math and chemistry is 0.06. What is the probability that a randomly chosen student does not like math nor chemistry?Cheetahs account for 44% of big cats in zoos, with males accounting for 25%. . Also, 68% of the males are cheetah. A large cat is chosen at random. What is the probability that it is a male cheetah?Consider the experiment of tossing a coin. If the coin shows head, toss it again but if it shows tail, then throw a dice. Find the probability of the dice shows a number greater than 4 (ii) there is at least one tail