Question

The radius of a certain kind of ball bearing is normally distributed. The mean radius is 1.7 cm, and the standard deviation is 0.3 cm. Express your answer in terms of P(z). What is the probability a randomly selected ball bearing will have a radius greater than 1.85 cm?

a. P(z>1.85)
b. P(z<1.85)
c. P(z=1.85)
d. P(z≤1.85)

Answer 1

To find the probability that a randomly selected ball bearing will have a radius greater than 1.85 cm, we need to find the area under the normal curve to the right of 1.85. The answer is a. P(z > 1.85).

Step-by-step explanation:

To find the probability that a randomly selected ball bearing will have a radius greater than 1.85 cm, we need to find the area under the normal curve to the right of 1.85. We can convert the value of 1.85 to a z-score using the formula z = (x - mean) / standard deviation. In this case, the z-score is (1.85 - 1.7) / 0.3 = 0.5. We can use a standard normal distribution table or a calculator to find the probability associated with this z-score, which is P(z > 0.5). So the answer is a. P(z > 1.85).