8.40 Let x be a binomial random variable for n = 25,p- 0.2. a. Use T.pdf

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A binomial random variable X with n=25 trials and probability of success p=0.2 is used to calculate the probability that 4 < X < 6. The mean and standard deviation of the binomial distribution are found and the normal distribution is used to approximate this probability. Although np=5, the normal approximation provides a good estimate of the exact probability P(4 ≤ X ≤ 6).

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8.40 Let x be a binomial random variable for n = 25,p- 0.2. a. Use Table 1 in Appendix I to
calculate P(4 < x < 6). b. Find the Mean and the standard deviation for the binomial probability
distribution, and use the normal distribution to approximate the probability P(4 < x < 6). Note
that this value is a good approximation to the exact value of P(4 <= x <= 6) even though np = 5.
Solution
p=0.2
q=0.8
p(4

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