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The following table shows the probability of rolling the numbers 1 through 6 on a fair die.

X 1 2 3 4 5 6
P(X) 1/6 1/6 1/6 1/6 1/6 1/6

What is the standard deviation of the random variable X, "the number that comes up on the die?"

A. 2.917
B. 3.5
C. 1.708
D. 14.028
E. 3.745

The following table shows the probability of rolling the numbers 1 through 6 on a fair die X 1 2 3 4 5 6 PX 16 16 16 16 16 16 What is the standard deviation of class=

Respuesta :

mreijepatmat
First of all find the mean that is:

Mean = (1+2+3+4+5+6)/6 = 3.5

1) Draw a frequency distribution table as shown here below


X                X - Mean      (X-Mean)²


1                1-3.5                 (-2.5)²
2                2-3.5                 (-1.5)²
3                3-3.5                 (-0.5)²
4                4-3.5                 (0.5)²
5                5-3.5                 (1.5)²
6                6-3.5                 (2.5)²
---              -------              -------------
∑=21         ∑=0                ∑ = 17.5  Note than the number of classes is n= 6

Variance  = σ² = 17.5/6 = 2.917

Standard deviation = √σ²  = √2.917==> σ =1.708 (answer C)

Answer:

it was C.! for APEX

Step-by-step explanation:

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