Eight trials are simulated. the results are shown in the table.

what is the estimated margin of error, using standard deviation?

enter your answer, rounded to two decimal places, in the box.

6.22

Step-by-step explanation:

First find the mean:

μ = (105+104+110+112+114+108+108+109) / 8

μ = 108.75

The standard deviation is then:

σ² = [(105-108.75)²+(104-108.75)²+(110-108.75)²+(112-108.75)²+(114-108.75)²+(108-108.75)²+(108-108.75)²+(109-108.75)²] / 8

σ² = 77.5 / 8

σ = 3.11

Margin of error is ±2σ, so ME = ±6.22.

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

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)