Respuesta :
Answer:
A) P(1) = 0.2
B) P(greater than or equal 3) = 0.4
C) P(4) = 0.1
D) P(0) = 0.1
E) [tex]\mu_y = 0.2[/tex]
F) [tex]\sigma = 0.089[/tex]
Step-by-step explanation:
A)
to find P(1) we see in the table the value of P(x) when x is equal to 1.
when x=1, we have that P(x) = 0.2, therefore P(1) = 0.2
B)
To find P(greather than or equal 3), we just need to find P(3) and P(4), and sum their values. Seeing in the table, we have that P(3) = 0.3 and P(4) = 0.1, so:
P(greater than or equal 3) = P(3) + P(4) = 0.3 + 0.1 = 0.4
C)
All four tires having low air pressure is represented by the value of x equal 4, so we have to find P(4). Seeing in the table, we have that P(4) = 0.1
D)
No tires having low air pressure is represented by the value of x equal 0, so we have to find P(0). Seeing in the table, we have that P(0) = 0.1
E)
To find the mean of P(x) we just need to sum all the values and divide by the number of values:
[tex]\mu_y = (0.1 + 0.2 + 0.3 + 0.3 + 0.1)/5 = 1/5 = 0.2[/tex]
F)
The formula to calculate the standard deviation is:
[tex]\sigma = \sqrt{\frac{1}{N}\sum(x_i-\mu)^2}[/tex]
[tex]\sigma = \sqrt{\frac{1}{5}((0.1-0.2)^2+(0.2-0.2)^2+(0.3-0.2)^2+(0.3-0.2)^2+(0.1-0.2)^2)}[/tex]
[tex]\sigma = \sqrt{\frac{1}{5}(0.01+0+0.01+0.01+0.01)}[/tex]
[tex]\sigma = 0.089[/tex]
