Ch: Estimating Random Variables Let Z be a standard normal random variable. Estimate via simulation P(Z2 < 2). (use R-code)

Using the z table, find the critical value (or values) for an α = .09 two-tailed test.

Nicotine Content of Cigarettes A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine content of the cigarettes the company manufactures is equal to 0.638. The variance of a random sample of 25 cigarettes is 0.885. At a 0.05, test the claim. Assume that the variable is approximately normally distributed. Use the P-value method with tables. Part: 0 / 5

Expected values and Binomial distribution 8. A Random Variable X can take only two values, 1 and 2: P(1) = 0.8 and P(2) = 0.2, Calculate the Expected value of X. Express your answer in 1 decimal place value