Reference these questions are related to chapter 3 ,4 & 5 of probability and statistics for engineers and scientist Ninth edition.pleas solve in detail.

{Q #1); On a statistics examination the mean was 78 and the standard deviation was 10. (a) Determine the standard scores of two students whose grades were 93 and 62. respectively. (b) Determine the grades of two students whose standard scores were 41.6 and 1.2, respectively. (0 # 2); How Normal distribution is different from Exponential. Beta and Gamma distribution. Descriptively explain with the help of practical examples and gures? (0 # 3); A random variable X has the density function f(x)= C!(x*2 + 1). where - innity n: x 1: + infinity.(a) Find the value of the constant C. (b) Find the probability that 1('2 lies between 1f3 and 1