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A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

Construct a confidence interval for the population proportion p, given n = 182, x = 135; 95%.

Suppose the random variable X has a normal distribution with mean 9.0 and variance 49. The probability that X takes on a value of at least 18 is approximately equal to

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