14. The normal rate of infection of a certain disease in animals is known to be 25%. In an experiment with a new vaccine, it was observed that none of the animals caught the infection. Calculate the probability of the observed result.
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- The prevalence of glaucoma in elderly people among high-risk populations within a city is approximately 5%. Suppose a mobile unit is sent to various neighborhoods throughout the city to identify subjects for a new glaucoma study. If the unit evaluates 500 people, what is the probability of identifying at least 20 cases of glaucoma?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?A diagnostic test for disease X correctly identifies the disease 90% of the time. Flase positives occur 12%. It is estimated that 5.36% 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?
- An experiemental drug has been shown to be 75% effective in eliminating symptoms of allergies in animals studies. A small human study involve 6 participants is conducted. What is the probability that the drug is effective on half of the participantsIn a genetics experiment on peas, one sample of offspring contained 436 green peas and 373 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?In a genetics experiment on peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
- A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.8%. What is the probability that in a random sample of 580 headache sufferers, less than 59.5% obtain relief? Probability=?Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 16 cards in all. What is the probability of drawing at least 7 clubs? For the experiment above, let X denote the number of clubs that are drawn. For this random variable, find its expected value and standard deviation. E(X) = σ =A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62%. What is the probability that in a random sample of 560 headache sufferers, less than 59% obtain relief?
- A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…In a genetics experiment on peas, one sample of offspring contained 396 green peas and 296 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 34 that was expected?In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?