Question

The mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49. If a sample of 54 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 43.4 dollars? Round your answer to four decimal places.

Answer 1

The probability that the sample mean would be less than 43.4 dollars is 0.9292.

What is a probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

From the information, the mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49 and a sample of 54 bags of shrimp is randomly selected.

Therefore, the probability will be:

P(x < 43.4)

Using normal distribution

= P(z < 43.4 - Mean( / 7/✓54)

= P(z < 43.4 - 42( / 7/✓54)

= P(z < 1.4697)

= 0.9292

The probability is 0.9292.

Learn more about probability on:

brainly.com/question/24756209

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