Consider a sample X1, X2 ,, Xn of normally distributed random variables with variance  2 = 16. Suppose that n = 16.

Determine an increasing func- tion g on (0,1) such that g(U) has the same distribution as Y. (c) Determine constants a and b > 0 such that the random variable a + bY has lower quartile 0 and upper quartile 1. (d) Determine the variance of the random variable a+bY, where a and b are determined by the solution to (c).

Step-by-step explanation:

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: