In: Statistics and Probability
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?