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Solutions to homework 4 for a statistics 200 course, including calculations using r for binomial and normal distributions. Students are expected to understand probability concepts and be able to apply statistical formulas.
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MMC 4.52, 4.62, 4. V 5.8, 5.9, 5.12, 5. 5.
sum(dbinom(3:5,5,1/6)) [1] 0. 5. .3^ [1] 5.31441e- 5. sum(dbinom(1:24, 24, 1/36)) [1] 0. sum(dbinom(1:4, 4, 1/6)) [1] 0. The second event is more likely.
(a) > pnorm(2.2,0,1) [1] 0. (b) > pnorm(2,0,1) - pnorm(-1,0,1) [1] 0. (c) > 1-pnorm(2.5,0,1) [1] 0. (d) > qnorm(c(.1,.5,.9)) [1] -1.281552 0.000000 1. Therefore, b = 1.
