In a study of 213,270 cell phone users, it was found that 77 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000397 probability of a person developing cancer of the brain or nervous system. We therefore expect about 85 cases of such cancer in a group of 213,270 people. Estimate the probability of 77 or fewer cases of such cancer in a group of 213,270 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? ... (a) P(x ≤ 77) = (Round to four decimal places as needed.)

In a study of 235,722 cell phone users, it was found that 109 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000477 probability of a person developing cancer of the brain or nervous system. We therefore expect about 113 cases of such cancer in a group of 235,722 people. Estimate the probability of 109 or fewer cases of such cancer in a group of 235,722 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(x ≤ 109) = (Round to four decimal places as needed.)

Physicians at a clinic gave what they thought were drugs to 890890 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5555 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.530.53. For the hypotheses that the proportion of improving is 0.530.53 against that it is >0.53>0.53, find the p-value. ?=p=

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?

9) According to the American Academy of Ophthalmology, there is a 18% chance that someone will have hazel eyes. What is the probability that it will take at least seven people to find someone with hazel eyes?