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.

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

what are ur choices?

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."