Question

In: Statistics and Probability

4. Assume that there are two groups of apples. One group consists of large apples whose...

4. Assume that there are two groups of apples. One group consists of large apples whose weight follow the normal distribution N(330, 152 ). This notation means that the mean weight is 330 grams and the variance is 225 (g2 ), The other group has smaller-size apples and their weight follows the normal distribution N(280,102 ).

(4.1) If we randomly select 3 apples from the first group, what is the probability for the total weight to exceed 1000 g ?

(4.2) If we randomly select one apple from the first group and another from the second group, what is the probability that the apple from the second group exceeds the first group?

(4.3) Suppose we select 4 apples from the first group (large) and 5 apples from the second group (small). What is the probability that the sum of 4 apples from the first group is lighter than the 5 apples from the second group ?

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orchestra answered 2 years ago
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