Exam 6: Normal Probability Distributions

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The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability. -The probability of at least 42 boys

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Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. -Shaded area is 0.8599. Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. -Shaded area is 0.8599.

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The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. If 16 fish are randomly selected, what is the probability that the mean weight will be between 15.6 and 21.6 lb?

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For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. - n=59 and p=0.7\mathrm { n } = 59 \text { and } \mathrm { p } = 0.7

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The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

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Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. -Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. -

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Assume that X has a normal distribution, and find the indicated probability. -The mean is μ=15.2\mu = 15.2 and the standard deviation is σ=0.9\sigma = 0.9 . Find the probability that XX is between 14.314.3 and 16.1.

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