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In: Statistics and Probability

Suppose the weight of a grizzly bear cub follows a Normal distribution with a mean weight...

Suppose the weight of a grizzly bear cub follows a Normal distribution with a mean weight of 650 grams and a standad deviation of 20 grams.

i) What is the probability that a newborn grizzly bear cub weighs less than 625 grams?

ii) what is the probability that a new born grizzly weighs between 608 and 675 grams?

iii) What weight is at the 90th percentile?

iv) If we take a random sample of 4 new born grizzly bear cubs from this population, what is the probability that the sample average weighs greater than 625 grams?

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