Shota invests $1000 in a certificate of deposit that earns interest. The investment’s value is multiplied by 1.02 each year. Whi
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Answer:
There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.
In this problem
Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, so
What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds?
That is
So
has a pvalue of 0.7549.
This means that .
We also have that
There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.