x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

The standard deviation of this probability distribution is 1.2.

Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35

Mean:

Each value multiplied by its probability. So

Variance:

Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

Standard deviation:

Square root of the variance. So

The standard deviation of this probability distribution is 1.2.

step-by-step explanation:

$11.01

$16

$15

$4

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