If f is a linear function on the interval [a, b], then a midpoint Riemann sum gives the exact value of Integral from a to b f (x )dx for any n. Is the statement true or false? Explain.

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

00 points ! missy’s rotation maps point k(17, –12) to k’(12, 17). which describes the rotation? 270° counterclockwise rotation 90° counterclockwise rotation 90° clockwise rotation 180° rotation

The correlation coefficient between the number of students and marks obtained in end semester exam. (13 marks) give the statistical meaning of the relationship between the number of students and marks b. obtained in end semester exam. (3 marks) draw the number of students and marks obtained in end semester exam scatter diagram c. (4 marks) check list write your name and id corectly write the question number properly use your own calculator. show all the steps to solve the problems. use the correct formula. answer in provided time. don't use your mobile for any purpose. write your answer up to two decimal places