Suppose that the hardness of steel is uniformly distributed, taking on values between 50 and 80 on the Rockwell B scale.Compute the probability that the hardness of a randomly selected steel specimen is less than 60. a..462b..333c..500d.2e..750 Question 8 Refer to question 7. Compute the probability that the hardness of a randomly selected steel specimen is between 70 and 75.a..167b..500c..063d..100e..
Suppose that the hardness of steel is uniformly distributed, taking on values between 50 and 80 on the Rockwell B scale. That would be... f(x) = 1/(80 - 50), 50 ≤ x ≤ 80 . . . . . 0 elsewhere Consider this following problem.. Compute the probability that the hardness of a randomly selected steel specimen is less than 60. Here, we have... P(x 60) Oh! Know that the mean and the standard deviation of the uniform distribution function are... ? = (a + b)/2 σ = (a - b)?/12 You should get... ? = 65 σ = 75 Now... P(z (60 - 65)/75) = P(z -0.07) Hence, you should get around 0.462. Good luck!
