Emily made 14 out of 19 shots during basketball practice. About what percent of her shots did she make? Explain your reasoning.
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Answer:
The probability that the total weight of the passengers exceeds 4222 pounds is 0.0018
Step-by-step explanation:
The Central limit Theorem stays that for a large value of n (21 should be enough), the average distribution X has distribution approximately normal with mean equal to 182 and standard deviation equal to 30/√21 = 6.5465. Lets call W the standarization of X. W has distribution approximately N(0,1) and it is given by the formula
In order for the total weight to exceed 4222 pounds, the average distribution should exceed 4222/21 = 201.0476.
The cummulative distribution function of W will be denoted by . The values of
can be found in the attached file.
Therefore, the probability that the total weight of the passengers exceeds 4222 pounds is 0.0018.