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6. Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with...

6. Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a mean equals 271 days and σ=26 days.
Part (a): About 35% of the pregnancies period are between 285 and x days. Find x.
Part (b): What is the probability that a random sample of 36 pregnancies has a mean gestation period of 268 days or less?
Part (c): What is the probability that a random sample of 49 pregnancies has a mean gestation period of 276 days or more?
Part (d): What is the probability that a random sample of 25 pregnancies has a mean gestation period in between 273 and 279 days?

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