In: Statistics and Probability
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability of selecting a bolt at random that has a diameter larger than 0.328 inches?
2)
The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches.
What is the probability that the diameter of a randomly selected pencil will be more than 0.285 inches?
3)In a standard normal distribution, what is the probability of a z-score being greater than -0.85?