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m_a_m_a [10]
2 years ago
8

(x-2y)^5 using pascal triangle​

Mathematics
1 answer:
Gnom [1K]2 years ago
6 0

Step-by-step explanation:

I edit this on computer, because I have class later

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Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.
Sindrei [870]

Answer:

a) P(X=3) = 0.1

b) P(X\geq 3) =1-P(X

And replacing we got:

P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4

c) P(X=4) = 0.3

d) P(X=0) = 0.2

e) E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2

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

And replacing we got:

E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4

And the variance would be:

Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4

And the deviation:

\sigma =\sqrt{2.4} = 1.549

Step-by-step explanation:

We have the following distribution

x      0     1     2   3   4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

P(X=3) = 0.1

Part b

We want this probability:

P(X\geq 3) =1-P(X

And replacing we got:

P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4

Part c

For this case we want this probability:

P(X=4) = 0.3

Part d

P(X=0) = 0.2

Part e

We can find the mean with this formula:

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

And replacing we got:

E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2

Part f

We can find the second moment with this formula

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

And replacing we got:

E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4

And the variance would be:

Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4

And the deviation:

\sigma =\sqrt{2.4} = 1.549

4 0
3 years ago
What is the equation of the line that passes through the point (-5,1) and has a slope of - 1/5 ?
ioda

Answer:

Step-by-step explanation: answer is B

5 0
3 years ago
How is 10 2/3 written as a decimal to the nearest hundred
expeople1 [14]

Answer:

10.67

Step-by-step explanation:

The 10 stays as it is.  The 2/3 is approximated by 0.67 (to the nearest hundredth).  Thus, we have 10.67 to the nearest hundredth.


6 0
3 years ago
12. On a table there were 16 dimes and quarters. The value of the coins was
7nadin3 [17]
6 quarters and 10 dimes
6 0
3 years ago
What is 11.625 rounded to the nearest whole number
Andru [333]

Answer:

your answer is 12

Step-by-step explanation:

have a great day! :)

8 0
2 years ago
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