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1. A fair coin is tossed 10 times. Let X denote the number of heads obtained. Find the following.
(a) P(X = 7)
(b) P(X ≤ 7)
(c) P(X > 0)
(d) E(X) and Var(X)
2. Let X be a Poisson random variable with λ = 1/3. Find
(a) P(X = 0)
(b) P(X ≥ 4).
3. For a standard normal random variable Z, ?nd the value of z0 such that
(a) P(Z > z0) = 0.05
(b) P(Z <>0) = 0.88
(c) P(Z <>0) = 0.10
(d) P(Z > z0) = 0.95.
Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond.
What is an example of two variables that are likely to be correlated because they are both changing over time?
consumer reports provided extensive testing and ratings for more than 100 hdtvs. an overall score based primarily on
suppose the distribution of y conditional on x x is nx x2 and marginal of x is u01. a find covx
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Represent the data given below with a suitable diagram. Draw a histogram and a frequency polygon for the following data.
Explain the difference between the information given by the tests of statistical significance t and Chi Square, and measures of association Cramer's V, Gamma and Pearson's correlation coefficient, r.
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1.an experiment was performed to investigate lifetime of a component exposed to high heat. three different oven types
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