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viva [34]
1 year ago
6

Hello would like to see if you can help me with question 2?

Mathematics
1 answer:
Murrr4er [49]1 year ago
8 0

Answer:

P(A or B) = 3/5

Explanation:

An independent event is an event that has no connection to another event's chances of happening. For A and B to be an independent event;

P(A or B) = P(A) + P(B)

Given the following parameters

P(A) = 1/5

P(B) = 2/5

Substituting the given parameters into the formula:

P(A or B) = 1/5 + 2/5

P(A or B) = 3/5

Hence the value of P(A or B) is 3/5

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Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

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Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

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4 years ago
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