Answer to Question #337035 in Statistics and Probability for April

Question

If a cup of ice cream is selected,what is the probability that the cholesterol content will be more than 670 mg?

Answer 1

Given $\mu=660\ mg, \sigma=35\ mg, n=10$

$$P(X>670)=1-P(Z\leq\dfrac{670-660}{35/\sqrt{10}})$$

$$\approx1-P(Z\leq0.903508)\approx0.183128$$

The probability that the mean of the sample will be more than 670 mg is 0.183128.