A new brand of drug-free nasal strip claims to be 90% effective in relieving nasal congestion to help you breathe and sleep better. In a sample of 50 patients, what is the probability that exactly 90% of the patients will find this nasal strip effective?

A national survey reported that 31% of adults in a certain country have hypertension (high blood pressure). A sample of 21 adults is studied. Round the answer to at least four decimal places. What is the probability that fewer than 4 have hypertension?

After several thousand game over several years versus a computer opponent, your instructor has won 66.4% of the time. At this rate, if twelve game were to be played what is the probability that he would win exactly eight of them? Explain your answer.

The expected value of a discrete random variable always corresponds to an actual outcome that may occur.

In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 134. What is the probability that the sample proportion will be at most 3 percent more than the population proportion? (Enter your answer as a number accurate to 4 decimal places.)

A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 7%. It is estimated that 5.13% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that, given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?

In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =

Based on historical data, your manager believes that 39% of the company's orders come from first-time customers. A random sample of 212 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.22 and 0.42?

Dr. Verde conducted an experiment in which she randomly assigned each subject a colored pencil and then asked them to choose their favorite color. Her results showed that neither the distribution of the assigned pencil colors or the subjects' preferred colors conformed to their expected theoretical probability values. If she repeats the experiment with a much larger sample, how would you expect her results to change and why? Answer in complete sentences. UPLOAD

You’ve just begun your surgical residency at Sacred Heart hospital. Today you’ve been assigned thesame surgery (Lobotomy) six times. Bringing back fond memories of your favorite statistic class incollege you begin to remember that the probability of success for this type of surgery is 0.70. Being aprofessional, you know that the outcome of any one surgery won’t affect your ability to perform thenext. Given that you’re operating six times today, what is the probability that only four of the six ofthe surgeries are a success?