Let a and b be positive integers with a ≤ b, and let X be a discrete RV that takes as values, with equal probability, in the interval [a, b]. Find the expected value of X.
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Help me please:
Let a and b be positive integers with a ≤ b, and let X be a discrete RV that takes as values, with
equal probability, in the interval [a, b]. Find the
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- The probability of a false positive test result is 0.168 (Round to three decimal places as needed.) Who would suffer from a false positive result? Why? O A. The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs. O B. The employer would suffer because the person tested would be suspected of using drugs when in reality he or she does not use drugs. O C. The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs. O D. The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs.A shipment of 5 television sets contains 2 defective sets. A hotel makes a random purchase of 2 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram. Find the probability distribution of X. 1 0 2 X f(x) (Type integers or simplified fractions.)Let X have a uniform on the interval (4, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.
- Use the given information to find the indicated probability. A and B are mutually exclusive. P(A)=.2, P(B)=.5, Find P((AUB)')Use the given information to find the indicated probability. A and B are mutually exclusive. P(A) = 0.5, P(B) = 0.4. Find P((A u B)'). P((A u B)') =ymbol) message X asuming that the symbols ICAIE oy P Qi b) Telegraph system has two symbols (dot, dash), assume time of the dot symbol equal 0.2 sec and the time of dash symbol equal 0.4 sec, Probabilities are P(dot)-2/3 and P(dash)-1/3.Calculate Hass D g1 Entropy rate? (2:245
- There are 2 players in a game. Each player independently picks a real number on the interval [0, 1] uniformly. If the (absolute) difference between the two numbers is less than a (0 < a < 1) and the sum of the two numbers is less than 1, then both players win, otherwise both players lose. What is the probability of winning? 2.The probability function of the amount of soft drink in a can is f(x)=4cx for11.5 <X< 12.5 oz. Determine the value of c such that f(x) represents a p.d.f..Then, find the following probabilities:(a) P(X > 11.5), (b) P(X < 12.25), and (c) P(11.75 <X< 12.25).The amount of time it takes Alice to make dinner is continuous and uniformly distributed between 10 minutes and 46 minutes. What is the probability that it takes Alice more than 42 minutes to finish making dinner given that it has already taken her more than 32 minutes in the making of her dinner?
- A student will take an exam that lasts a maximum of one hour. The probability that the student finishes the exam before x hours is x / 2, 0 ≤x≤1. If it is known that the student is still taking the exam at the end of 0.75 hours, what is the probability that the student will use the entire hour?Let X denote the number of empty bins when 60 balls are thrown inde- pendently into 30 bins. What is the expectation of X?Two real numbers, x and y, are randomly selected, both from the interval [0, 10]. What is the probability that, at the same time, their sum is less than 7 and the absolute value of their difference is greater than 2?
