Answer :
The probability that the sample mean would be less than 40.6 dollars will be 0.534.
What is a normal distribution?
The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x – μ) / σ
The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.
If a sample of 51 bags of shrimp is randomly selected.
Then the probability that the sample mean would be less than 40.6 dollars will be
z = (40.6 – 40) / 7
z = 0.0857
Then the p-value will be
P(x < 40.6) = P(z < 0.0857)
P(x < 40.6) = 0.534
More about the normal distribution link is given below.
https://brainly.com/question/12421652
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