A box of 30 diodes is known to contain 5 defective ones. If two diodes are selected at random without replacement, what is the probability that atleast one of these diodes is defective. CS Scanned with CamScanner
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- Suppose that the average number of typos on a page of a manuscript is 6.93. What is the probability that there are seven typos on a certain page?Assume that when human resource managers are randomly selected, 39%say job applicants should follow up within two weeks. If 6human resource managers are randomly selected, find the probability that exactly 3of them say job applicants should follow up within two weeks.If a typist makes an average of three errors for every hour, what is the probability that he will make at least 50errors in eight hours?
- Suppose that 20% of fruit flies possess a certain gene. If we randomly select 20 fruit flies find the probability that at least 5 flies in the sample possess the gene. Assum sampling replacementa bookstore owner examines 6 books from each lot of 20 to check for missing pages.If he finds at least 3 books with missing pages, the entire lot is returned Mean- ProbabilityA manufacturing machine has a 3% defect rate.If 7 items are chosen at random, what is the probability that at least one will have a defect? Show your work
- Last semester, a certain professor gave 21 As out of 330 grades. If one of the professor's students from last semester were selected randomly, what is the probability that student received an A? (Assume that each student receives one grade.)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.)A shipment of 10 similar microcomputers to a retail outlet contains 4 that are defective. If a school makes a random purchase of 3 of these computers, find the probability distribution for the number of defectives.
- Data packets containing 100 bits are transmitted over a communication link. Given that the probability of a bit 1 in a data packet is p = 0.2, generate the random outcomes for 40 data packets. Find the occurrence of bit 1 and its relative frequency in each packet.There are cards labeled from 1 through 8. One card is drawn randomly from them.Find the expectation of the number drawn.On six draws the outcome is 3,3,6,8,1,2. What is the variance of this experiment?