A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 14,270 children. a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of14,270children.   b. Using the unrounded mean from part​(a​), find the probability that the number of tumor cases in a group of14,270 children is 0 or 1. c. What is the probability of more than one​ case? d. Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?

A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. Four cases of this tumor occurred in a certain town, which had 17,151 children. a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 17,151 children b. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 17,151 children is 0 or 1. C. What is the probability of more than one case? d. Does the cluster of four cases appear to be attributable to random chance? Why or why not? a. The mean number of cases is Type an integer or decimal rounded to three decimal places as needed.) b. The probability that the number of cases is exactly 0 or 1 is (Round to three decimal places as needed.) c. The probability of more than one case is (Round to three decimal places as needed.) d. Let a probability of 0.05 or less be very small," and let a probability of 0.95 or more be very large". Does the cluster of four cases…

Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 979,748 radioactive​ atoms, so 20,252 atoms decayed during 365 days.   a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given​ day, 52 radioactive atoms decayed.

b. If 26 different women are randomly​ selected, find the probability that their mean weight is between150 lb and 221 lb.The probability is approximately enter your response here. ​(Round to four decimal places as​ needed.)