Pls solve all the questions with detailed steps. 1. Find the Mean and Variance o
ID: 3066752 • Letter: P
Question
Pls solve all the questions with detailed steps.
1. Find the Mean and Variance of Normal Distribution function? 2. Derive the Moment generating function of Normal Distribution function and also find the mean and variance using the same 3 The elongation of a steel bar under a particular load has been established to 0.01 inches. be a normally distributed with a mean of 0.05 inches and ? Find the probability that the elongation is (i) above 0.1 inches (ii) below 0.04 inches (iii) between 0.025 and 0.065 inches. The length of time between breakdowns of an essential piece of equipment is important in the decision of the use of auxiliary equipment. An engineer thinks that the best model for time between breakdowns of a generator is the exponential distribution with a mean of 15 days 4. will break down in the next 21 days? What is the probability that the generator will operate for 30 days without a breakdown? (b)Explanation / Answer
Solution1:
mean of normal distribution=0
variance of normal distribution =1
represented with z