Mathematics: Who’s is the graph of y is greater than or equal to 1 - 3x?

Variance of X is 4500minutesStep-by-step explanation:Given that , X = 30N≅P(3)Xi ≅Exp(5)Now Variance is⇒...

Who’s is the graph of y is greater than or equal to

Ответ:

FierceSpaceFox99

24.10.2021

Mathematics

Variance of X is 4500minutes

Step-by-step explanation:

Given that ,

X = 30

$\sum_{i=1}^N X_i\\\\X_i \text {number of minutes in each call}\\\\n =\text {number of call in a given day}$

N≅P(3)

Xi ≅Exp(5)

$E(x)=E(30) \sum_{i=1}^N\\\\E(x)=30E(N).E(x)\\\\E(N)=3\\\\V(N)=3\\\E(x_1)=5\\\\ \text {Mean}= \text {variance of exponential}\\\\V_{x_1}=5^2=25\\\\V_{x1}=25\\\\E(x)=30*3*5\\\\E(x) = 450 minutes$

Now Variance is

⇒ $Var{\sum_{i=1}^NX_i \\\\=E(N)Var(X_1)+E(x_1)^2Var(N)$

$V(x) = 30[\sum_{i=1}^NX_i]$

$=30[E(N)V(x_i)+E(x_1)^2V(N))\\\\=30[(3*25)+(25*3)]\\\\=30[75+75]\\\\=30*150\\\\V(x)=4500 \text {minutes}$

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Who’s is the graph of y is greater than or equal to 1 - 3x?

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