100 POINTS! PLEASE ANSWER AS MUCH AS YOU KNOW(Correctly)! THANKS GUYS! :)

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7 /8 x^2+x+ 31/8 ?