The area under a normal curve is equal to 1 True False The diameters of red deli

Question

The area under a normal curve is equal to 1 True False The diameters of red delicious apples of an orchard have a normal distribution of 3 inches and a standard deviation of 0.5 inch. One apple will be randomly chosen. What is the probability of picking an apple with diameter less than 2.15 inches? 0.0446 -3.85 0.9554 -1.7 The diameter of red delicious apples of an orchard have a normal distribution with a mean of 3 inches and a standard deviation of 0.5 inch. One apple will be randomly chosen. What is the probability of picking an apple with diameter greater than 3.76 inches? 1.52 0.0643 0.0125 0.9357

Explanation / Answer

(1)
The area under a normal curve is equal to 1 --> True

(2)
mean = 3, std. dev. = 0.5
P(X<2.15) = P(z<(2.15-3)/0.5) = P(z< -1.7) = 0.0446

(3)
mean = 3, std. dev. = 0.5
P(X>3.76) = P(z > (3.76 - 3)/0.5) = P(z < 1.52) = 0.0643

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