Question

-Suppose the birth weights of full-term babies are normally distributed with mean 3700 grams and standard...

-Suppose the birth weights of full-term babies are normally distributed with mean 3700 grams and standard deviation of 490 grams.

a. Draw a normal curve with the parameters labeled and shade the region that represents the proportion of full-term babies who weigh more than 4680 grams.

b. Find the proportion of full-term babies who weigh more than 4680 grams.

-Find each of the following. Include a diagram for each:

a. Find the z-score such that the area under the standard normal curve to the left is 0.32

b. Find the z-scores that separate the middle 48% of the distribution from the area in the tails of the standard normal distribution.

c. Find ?0.38

Assume a random variable X is normally distributed with a mean ? = 50 and a standard deviation ? = 7. Compute the following probabilities. Be sure to draw the normal curve representing each situation.

a. P(X>34)

b. P(35

c. Find the 25th percentile.

Please show all work for the following problems. If a calculator is used, including the calculator function used as well as the values entered. Example: normalcdf

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