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A. Let X be a binomial random variable with n = 74 and p = .6....

A. Let X be a binomial random variable with n = 74 and p = .6. Use the normal approximation to the binomial to find:
(i) P(X ≤ 50) (iii) P(40 ≤ X ≤ 50) (v) P(X = 43)
(ii) P(X ≥ 40) (iv) P(42 ≤ X < 49)

B. Each time a roulette wheel is spun, there are 38 possible outcomes, 18 red, 18 black, and two green. Suppose that you ALWAYS bet "black".

(i) Suppose the roulette wheel is spun once. What is the probability that you win? [round your answer to 3 decimal places]

(ii) Suppose the roulette wheel is spun 60 times.

(a) What is the probability that you win 30 or more times?

(b) Find your expected number of wins.

(c) Find the variance and standard deviation.

math   Statistics-And-Probability   
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Answer #1

en Ginomial 4,0.6 Va.(X)= nf(PP):74xa 6xo.df- /7.76 nomal 776 ご0.901 S-6 n76 0.16 오 (49-2142 ) こ0.089 こ @u f(XZ囀ニ H(X<.u0) = 1一重G 器) 7-78井아 outcomes 31 、0.389 E) 60 21.421 Von(X)-nflı-PJ: 60댑쁑:w.asr 38 e)

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