Question : . It was found that the mean length of parts produced by a lathe was . mm with a standard deviation of 0.02 mm. Find the probability that a part selected at random would have a length less than 20.01 mm
Explanation: 20.01 is 2 s.d. (standard deviations) below the mean. P(X less than 20.01) =P(Z less than -2) =0.5-0.4792 =0.0228 So the probability is 0.0228.
Question : It was found that the mean length of parts produced by a lathe was . mm with a standard deviation of 0.02 mm. Find the probability that a part selected at random would have a length between 20.06 mm and 20.07 mm 1. 0.1298 2. 0.1398 3. Access Mostly Uused Products by 50000+ Subscribers 4. 0.1598
Explanation: 20.06 is 0.5 standard deviations above the mean; 20.07 is 1 standard deviation above the mean P(20.06 less than X less than 20.07) =P(0.5 less than Z less than 1) =0.3413-0.1915 =0.1498 So the probability is 0.1498.
Question : It was found that the mean length of parts produced by a lathe was . mm with a standard deviation of . mm. Find the probability that a part selected at random would have a length greater than 20.09 mm.
20.09 is 2 s.d. above the mean, P(X > 20.09)=0.0228. Same as 20.01 is 2 s.d. (standard deviations) below the mean. P(X less than 20.01) =P(Zless than -2) =0.5-0.4792 =0.0228 So the probability is 0.0228.
1. Bayesian probability and Bayes' rule gives us a way to estimate unknown probabilities from known values. 2. You can reduce the need for a lot of data by assuming conditional independence among the features in your data. 3. Bayes' theorem finds the actual probability of an event from the results of your tests. 4. Only 1 and 2 5. All 1,2 and 3 are correct