what proportion of offspring will be of use to him? What is the probability that, in 100 such offspring, none will be worthy of further study? And what is the mean value of the number of useful offspring in 100?
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A plant breeder knows by experience that when he crosses 2 varieties of currant, 10% of the offspring will be disease-resistance, and that only 20% of the offspring will be sufficiently vigorous growers to warrant further trial. if he wishes to breed plants which are both vigorous and disease-resistant, and these two characteristics are independent of one another.
what proportion of offspring will be of use to him?
What is the probability that, in 100 such offspring, none will be worthy of further study?
And what is the
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- An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…Suppose you are told that among Atlantic salmons, the proportion of salmons suffering from a viral infection is 0.085. If you collect a sample 250 Atlantic salmons, what is the chance that the proportion of salmons in your sample suffering from a viral infection will be less than 0.9? Would you expect the probability of the event in (1) to be higher or lower if you had a sample of 500 salmons instead? Justify.In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue eyes. What is the probability that two randomly selected people (not related to each other) from this population will have eyes of the same color? (Answer correctly to 3 decimal places.)
- Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.038, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.047. A computer is selected at random and it is found to be defective. What is the probability it came from factory B? Answer:A state government hired a contractor for a road-construction project. The contractor's type, its cost efficienciency, is unknown to the government. There is 2/3 probability of the its construction cost being 3 (billion dollars per lane) and 1/3 probability of the cost being 5. More lanes yield more social benefit in the form of faster travel and fewer accidents. The social value V (measured in billions of dollars) from having N lanes on the highway is: V-15N-N?/2. The government is interested in choose N and writing a contract to maximize the benefit to the state (V) net of the fee paid to the contractor (call it F); G-V-F. Your goal as a government official is to design a pair of contracts to separate the types of contractor. You want the contractor to choose "Contract L: Build N lanes and get paid RL dollars" if its cost type is low cost of $3 (billion dollars per lane) and to choose "Contract H: Build NH lanes and get paid RH dollars" if its cost type is high cost $5 (billion…On a certain stretch of the East Coast Expressway, on average three birds per week are killed colliding with passing vehicles. The highway authority decides that if the probability of more than three birds per week being hit is more than 0.1, a special committee will be appointed to deal with the problem. Q1 (a) Determine whether the special committee will be appointed or not.
- For the same class you were asked to do some research on transfers bt two-year and four-year colleges. According to federal data on the year-round student population, in 2015-16 49% of all students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 years. If you take a random sample of 10 of these graduates, what is the probability that exactly 4 of them will have been enrolled in a two-year college in the last 10 years?Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume thatTesting for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.05, find the probability of a positive result for six samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.)
