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A student randomly guesses on a five question multiple choice exam (and hence independence betweeneach question can be assumed). The probability of correctly guessing each question is 0.2. Let X be the random variable for the number of correct guesses.
(i) Explain why this scenario follows a binomial probability model.
(ii) Determine the probability of answering exactly 3 questions correctly.
(iii) Determine the probability of answering at most 2 questions correctly.
(iv) The mean and variance of a binomial random variable is µ = np and σ2 = np(1 - p), respectively.Determine the mean and variance of X.
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Compute the probability that a permutation of n objects is a derangement for all positive integers not exceeding 20 and determine how quickly these probabilities approach the number 1/e.
in 1990, 1 dollar equalled 125 yen. In 2010, 1 dollar equalled 80 yen. At this rate, how many yen will the dollar equal in 2015?
Provide examples from the field of health services management of phenomena that are probably best forecasted using genius forecasting. Why?
organizations sometimes want to go beyond describing the data and actually perform some type of inference on the data.
For this Project you will be using the Project Dataset in Doc Sharing under the Category called "Final Project Assignment and Data." This dataset is in Excel and you will use Excel to complete this Project. You should enter your answers/responses/..
Given the least squares regression line yˆ=-2.48+1.63x, and a coefficient of determination of 0.81, the coefficient of correlation
Calculate the exact probability that of 86 men at a business meeting, no more than five are 6 feet 2 inches or taller.
Given that f(x)= 1/x and g(x)= 8x-6, find the following, and their domains. fog(x)= ________ domain= all real numbers except: gof(x)= ________ domain= all real numbers except:
An access ramp rises 3.2 ft over a distance of 30 ft. What is the average angle of the ramp with the horizontal?
The matrix A only has one eigenvalue. Find it and and an eigenvector of A. Find a generalized eigenvector of A
Calculate the transition matrix of graph and give the graph that corresponds to "hitting the back button" for this graph.
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