How do u find expected value
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- BINOMIAL DISTRIBUTION 9) Market research has shown that the cornflakes "Superman" is eaten by 20% of the population. a) Find the probability that in a random sample of 10 people exactly 3 people eat "Superman" cornflakes. b) Find the mean and the standard deviation of the number of people who eat "Superman" cornflakes in a random sample of 25 people. c) How large must a random sample be if the probability that it contains at least one person who eat "Superman" cornflakes is to be greater then 0.95? 10) Two percent of the bulbs produced by a factory are not usable. Find the smallest number of bulbs that must be examined so that the probability of obtaining at least one-usable bulb exceeds 0.5.How to Calculate the expected number of emergency calls in a week?2. Suppose X₁,..., Xn are iid with pdf f(x; 0) = (1/0)e-x/0, 0 1). (c) Prove that the MLE you find in (b) is a consistent estimator of the probability Po(X > 1).
- Sample of n subjects (where n is large) cross-classified according to disease status and screening test result are given below. Test Result Disease Positive(T) Negative(T) Total Present(D) 368 36 404 Absent(D) 12 384 396 Total 380 420 800 Assume P(D) = 0.002. Denote the probabilities of false negative and false positive, respectively by FNR and FPR. Then the sensitivity, specificity, FNR, FPR, and predicetive value positive of the screening test are, respectively, (Choose one from the following which is closest to the correct answer.) a. 0.9697, 0.9109, 0.0303, 0.0891, 0.0568. O b. 0.9109, 0.9697, 0.0303, 0.0891, 0.0568. e. 0.9697, 0.9109, 0.0891, 0.0303, 0.0568. O c. 0.9109, 0.9697, 0.0891, 0.0303, 0.0568. d. 0.9109, 0.9697, 0.0303, 0.0891, 0.9998.In screening for a certain disease, the probability that a healthy person wrongly gets a positive result is0.05. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate ofthe disease in the population being screened is 1%. If my test gives a positive result, what is theprobability I actually have the disease? ( dont hand writing solution)Calculus pls help asap
- distribution of candidates who were enrolled for the mba entrace exam and the candidates (out of those enrolled) who passed the exam in different institutes CANDIDATES ENROLLED =8550 X-16%, P- 22%, Q-15%, R-10%, S-17%, T-8%, V-12% CANDIDATES PASSED= 5700 X- 12%, P-18%, Q-17%, R-13%, S-16%, T-9%, V-15% a) What percentage of candidates passed the Exam from institute T out of the total number ofcandidates enrolled from the same institute?b) Which institute has the highest percentage of candidates that passed to the candidates enrolled?c) By how many candidates, does the number who passed institutes S and P together exceeds thenumber of candidates enrolled from institutes T and R together?Obtain the maximum likelihood estimate 0 of for the probability distribution.Select all that apply. Which is/are true of two-tailed tests? They are appropriate when it is not important to distinguish between no effect and an effect in either direction. They are more common than one-tailed tests. They compute two-tailed probabilities. They are more controversial than one-tailed tests.