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Question 1:
(a) 75 percent of all people in a population are vaccinated against a par-ticular disease. During an epidemic, the probability that a vaccinated person is infected is 0.12, whereas the probability that a non-vaccinated person is infected is 0.35. Use a tree diagram to show this information.
(i) Evaluate the probability that a random chosen person will be infected during the epidemic.
(ii) During the epidemic, a person chosen at random was found to be not infected. Determine the probability that he was not vaccinated.
Question 2:
In the mass production of bolts, it is found that 5% are defective. Bolts are selected at random and put into packets of ten.
A packet is selected at random. Find the probability that it contains
(i) three defective bolts.(ii) at most three defective bolts.Two packets are selected at random.(iii) Evaluate the probability that there are no defective bolts in eitherpacket.
Question 3:
A book containing 500 pages has 750 misprints.
(i) What is the average number of misprints per page?(ii) Find the probability that page 427 contains more than the average number of misprints.(iii) Find the probability that pages 427 and 428 will contain no mis-prints.
For an alignment shown below derive log-odds score for the column 1 only by a) Computing observed probability values b) Expected probability values TAGCTT AAGCTC T
Post-retirement health insurance Some companies continue to provide insurance policy to workers after they have on. This one person benefit is considered to be part of the sett
What is a Business-type activity Reported in the government-wide financial statements. Financed in whole or in part by fees charged to external parties for goods or services that
The probability a computer will boot is .08. What is the least number needed so that the probability at least two will boot is greater than .99?
Please show your work to receive credit for this question.. Harkin Electronics is planning its production next quarter for its two product lines, relays and capacitors. The pro
A, Explain how a person can be free to choose but his or her choices are casually determined by past event B , Draw the casual tree for newcomb's problem when Eve can't perfectl
Depreciation during the financial year The Resources which are bought during the economical season and its determined that the Depreciation will be incurred on them @ 10% PA it
A researcher is interested in comparing tastiness of different parts of cheese in grilled cheese sandwiches. The researcher expects that Cheddar cheese grilled sandwiches are rate
a fair die is thrown 3 times.let X1,X2,X3 denote results of 3 throws.what is the probablity that p[X1>X2+X3]
i) For a 3 term averagin filter, write a difference eqatuon governing the filter and dervie the corresponding z transform Sketch a pole zero plot, would this filter be stable, why
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