Afair four-sided die with four equilateral triangle-shaped faces is tossed 200 times. each of the die’s four faces shows a diferent number from 1 to 4.
a. find the expected value of the sample mean of the values obtained in these 200 tosses.
b. find the standard deviation of the number obtained in 1 toss.
c. find the standard deviation of the sample mean obtained in these 200 tosses.
d. find an approximate probability that the sample mean of the 200 numbers obtained is smaller than 2.7.