The probability that the member selected at random is from the shaded area of the graph is enter your response here
1 answer:
The probability that the member selected at random is from the shaded area of the graph is 0.0586.
<h3>How to calculate the probability?</h3>It should be noted that probability simply means the likelihood of the occurence of an event.
Based on the information, we will use the central limit theorem. This states that the distribution of the sample means will approximate a normal distribution as the sample size gets bigger.
Here, we are to find P(282 < X < 291). This will be:
P(282 < X < 291) = P[(282 - 267)/10 < Z < (291 - 267)/10)]
P(282 < X < 291) = P(1.5 < Z < 2.4)
P(282 < X < 291) = P(Z < 2.4) - P(Z < 1.5)
= 0.9918 - 0.9332
= 0.0586
In conclusion, the probability is 0.0586.
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