binomial experiment consists of 500 trials with the probability of success for each trial 0.3. What is the probability of obtaining 175 or more​ successes? (This binomial experiment easily passes the​ rule-of-thumb test, as you can check. When computing the​ probability, adjust the given interval by extending the range by 0.5 on each​ side.)

You need to compute the probability of 5 or fewer successes for a binomial experiment with 10 trials. The probability of success on a single trial is 0.54. Since this probability of success is not in the table, you decide to use the normal approximation to the binomial. Is this an appropriate strategy? Explain. O No, np 5. O No, np > 5. US V O 2:15 0% 8. 5

You purchase boxes of cereal until you obtain one with the collector's toy you want. If, on average, you get the toy you want in every 62th cereal box, what is the probability of getting the toy you want in any given cereal box? (Round your answer to 3 decimal places.)

A sample of 400 adults found that 82  have high blood pressure. However, 98 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

A study reported that about 40% of high school students have tried out for a sport at their school. To find out if this applies to Jessica’s school, she surveyed an SRS of 20 students. Nine of them said that they had tried out for a sport. To see if this result is surprising, a simulation is to be conducted to estimate the probability of obtaining a sample result as high as this one. Let 0–3 represent students who tried out for a sport and 4–9 represent students who did not try out for a sport.   Using the line of random numbers to run one simulation, what proportion of students tried out for a sport? 0.40 0.45 0.50 0.60

When X is a binomial random variable, the mean of the probability distribution = np.  A jury has 12 people on the jury. If a certain town has a population that is 9 percent a certain race, how many people of that race would you expect would be on the jury if jury selection was random (and every person was equally likely to be on the jury). Round answers to 4 decimal places as needed.

A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?

Show all your work and explain each step. A laboratory blood test is 0.95 effective in detecting Corona virus, when it is, in fact, present. However, the test also yields a "false positive" result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.01, the result will imply s/he has the Corona virus.) If 0.5 percent of the population in King County has the virus, what is the probability a person has the virus given that his or her test result is positive?

A group of people were asked if life exists elsewhere in the galaxy. 298 responded "Yes", and 359 responded "No". Find the probability that if a person is chosen at random, the person believes life exists elsewhere in the galaxy. Probability = 0.4534 x (Round to 4 decimal places)