Question

A particular fruits weights are normally distributed with a mean of 387 gram and a standard deviation of 13 grams if a fruit is picked at random then 19% of the time its weight will be greater than how many grams give your answer to the nearest gram

Answer 1

Let X be a random variable denoting the weight of the fruit.
It is given that,


We are to find t such that,





It is known that,


where,







Hence, probability that a randomly selected fruit will have weight more than 398 grams is 19% likely.



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