In a clinic, the following procedure is applied: A biological sample obtained from the patient is an-alyzed for its metabolites and a diagnosis is made based on the test results. In each sample, from atotal of T metabolites, N metabolites with the highest levels are selected and investigated. M of the Tmetabolites are known disease biomarkers; at high levels these are associated with a particular disease.a. Find the probability distribution of X: the number of biomarkers observed in a test. (Hint: Thisis one of the common distributions. You may want to scan a catalog of common discrete distribu-tions“.)1000,b. What is the expected number of observed biomarkers, as a function of N, in a test if TМ — 20?c. What is the probability of observing at least 25 disease biomarkers in a test, if T = 1000, N = 100,M = 40? You can try to do this manually, or you may find it easier to use the relevant distributionfunctions in scipy.stats.

Discrete Random Variable: A discrete random variable is a variable whose values can be obtained by…

Answered: In a clinic, the following procedure is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that six cups of yogurt are selected at random. What is the probability that at least three cups have at least 11.5 g of protein? Give your answer to at least three decimal places. The variable Y represents the number of cups out of the six randomly‑selected cups that contain at least 11.5 g of protein? The probabilty of at least 11.5 g of protein in a cup is 0.70.
The Department of Animal Regulations released information on pet ownership for the population consisting of all households in a particular rural county. Let the random variable X be the number of licensed dogs in a randomly selected household. The distribution for the random variable X is given in the table: Value of X 1 2 3 Probability 0.30 0.40 0.20 0.10 What is the expected number of dogs in a household in this rural county?
Each year, ratings are compiled concerning the performance of new cars during the first 30 days of use. Suppose that the cars have been categorized according to whether a car needs warranty-related repair (yes or no) and the country in which the company manufacturing a car is based (in some country X or not in country X). Based on the data collected, the probability that the new car needs a warranty repair is 0.08, the probability that the car is manufactured by a company based in country X is 0.50,and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is 0.015. Show contingency table used. a. Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair?
A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected). They found the following frequency table: Newly infected mice Newly infected mice 4 5 6 7 8 9 10 11 Frequency 1 2 2 6 5 4 2 1 Determine the expected probability of transmission for this particular variant of disease. Round your answer to three decimal places.
A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
1
A sample of n = 20 observations is drawn from a normal population with u = 1100 and o = 180. Find each of the following: A. P(X > 1176) Probability = B. P(X 1063) Probability =

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