Mathematics, 21.03.2020 08:03 zemathes

Consider the discrete probability distribution below. Complete parts a and b to the right.

Outcome Probability
0 0.35
1 0.36
2 0.14
3 0.08
4 0.04
5 0.02
6 0.01

a. Calculate the mean of this distribution.

μ = ? (Type an integer or a decimal.)

b. Calculate the standard deviation of this distribution.

σ = ? (Round to three decimal places as needed.)

Answers: 3

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Answers

Answer from: jones03riley

a) Mean=1.2b) The standard deviation is $\sigma=3.1$

Step-by-step explanation:

Given that the discrete probability distribution below :Outcome Probability

0 0.35

1 0.36

2 0.14

3 0.08

4 0.04

5 0.02

6 0.01

a) To find the mean of this distribution :The formula is $E(X)=\sum X.P(X)$ X P(X) XP(X) X^2P(X)

0 0.35 0 0

1 0.36 0.36 0.36

2 0.14 0.28 1.12

3 0.08 0.24 2.16

4 0.04 0.16 2.56

5 0.02 0.1 2.5

6 0.01 0.06 2.16

_________________________________________________

$\sum XP(X)=1.2$ $\sum X^2P(X)=10.86$

_________________________________________________

Now substitute the value in the formula we get $E(X)=\sum X.P(X)$ E(X)=1.2

Therefore Mean=1.2b) To find Standard Deviation :The formula is $\sigma=\sqrt{X^2P(X)-(XP(X))^2}$ Substitute the values i the formula we have $\sigma=\sqrt{10.86-(1.2)^2}$ $=\sqrt{10.86-1.44}$ $=\sqrt{9.42}$ =3.0692

Therefore the standard deviation is $\sigma=3.1$

Answer from: Quest

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

Answer from: Quest

)because it's going in order of the math sign

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Consider the discrete probability distribution below. Complete parts a and b to the right.

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