We learned that multiplying by i produces a 90° counterclockwise rotation about the origin. what do we ned to
multiply by to produce a 90° clockwise rotation about the origin?

For producing 90° rotation clockwise abut origin we have to multiply with -i

Step-by-step explanation:

We know that when we multiply with i in an number then it will give 90° counterclockwise rotation

We have to find the quantity after which it will produce 90° clockwise rotation

Generally we take counterclockwise as positive angle and clockwise as negative angle

So basically we have to produce -90° angle

For producing 90° rotation clockwise abut origin we have to multiply with -i

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0