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

12- Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a mean equals 271 days and σ=26 days. About 35% of the pregnancies period of 64-pregnancy samples are between 279 and x days. Find x.

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Given  the lengths of the pregnancies of a certain animal are approximately normally distributed with a mean equals 271 days and σ=26 days.  About 35% of the pregnancies period of 64-pregnancy samples are between 279 and x days. So we have,

The value of

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