3 years ago

Ruth decides to test the method of proportions and similar

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

7 0

Answer:

Step-by-step explanation:

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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 de

barxatty [35]

Answer:

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

$M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55$

Variance:

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

$V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475$

Standard deviation:

Square root of the variance. So

$S = \sqrt{V} = \sqrt{1.4475} = 1.2$

The standard deviation of this probability distribution is 1.2.

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The denominator of a fraction is 9 more than the numerator. if both the numerator and the denominator are decreased by 1 the res

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Answer = 5.5 x 5.5 = 30.25

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