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Among the students doing a given course, there are four boys enrolled in the ordinary version of the course, six girls enrolled in the ordinary version of the course,and six boys enrolled in the higher version of the course. How many girls must be enrolled in the higher version of the course if sex and version of the course are to be independent when a student is selected at random?
A plays tennis against B. During a given game, the score reaches deuce. Each player then needs to score two more points than the other to win the game. Assuming that each point is independently won by A with probability p, what is the probability they will have to play a total of 2n points to end the game? What is the probability that A will win the game?
Suppose the random variable X is continuous and has the distribution F(x). Consider another random variable Y de?ned by Y = F(X). Find the distribution of Y .
In a sequence of independent identical trials with two possible outcomes on each trial, success or failure, and with P(success) = p, what is the probability that exactly x trials will occur before the rth success?
a) List down several measures of central tendency and define the difference among them? b) What do you mean by confidence interval, and why it is useful? What is a confidence lev
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Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coi
Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual
Statistical Keys To do statistical operations we must first set the calculator on SD mode [SD stands for "standard deviation" which is the usual st
Two students are sitting in a lecture and considering whether to ask a question from the professor (both of them are considering the same question). If they both ask, the questi
worked model
Harmonic Mean The harmonic mean also called harmonic average, in the total numbers of items of variable divided by the sum of r reciprocals of the values of the variable. In
Analysis of Variance for the data: Draw a random sample of size 25 from the following data : (a) With Replacement and (b) Without Replacement and obtain Mean and Varia
Show how the Normal bin width rule can be modied if f is skewed or kurtotic. Examine the effect of bimodality. Compare your rules to Doane's (1976) extensions of Sturges' rule.
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