Ratio of cat : to dog = 40 : 20 = 2:1
Add the numbers and divide by 5 to get a mean of 6.4
8 - 6.4 = 1.6
4 - 6.4 = -2.4
7 - 6.4 = 0.6
8 - 6.4 = 1.6
5 - 6.4 = -1.4
Add the absolute value of each: 1.6 + 2.4 + 0.6 + 1.6 + 1.4 = 7.6
Divide by 5 = 1.52
1.5
Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92
The 90th percentile score is nothing but the x value for which area below x is 90%.
To find 90th percentile we will find find z score such that probability below z is 0.9
P(Z <z) = 0.9
Using excel function to find z score corresponding to probability 0.9 is
z = NORM.S.INV(0.9) = 1.28
z =1.28
Now convert z score into x value using the formula
x = z *σ + μ
x = 1.28 * 92 + 1028
x = 1145.76
The 90th percentile score value is 1145.76
The probability that randomly selected score exceeds 1200 is
P(X > 1200)
Z score corresponding to x=1200 is
z =
z =
z = 1.8695 ~ 1.87
P(Z > 1.87 ) = 1 - P(Z < 1.87)
Using z-score table to find probability z < 1.87
P(Z < 1.87) = 0.9693
P(Z > 1.87) = 1 - 0.9693
P(Z > 1.87) = 0.0307
The probability that a randomly selected score exceeds 1200 is 0.0307
Answer:
5.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
i ASSUME THE QUESTION IS TO DETERMINE Y?
Rearrange the equation to y = 2x - 1 and solve for each value of x
<u>X</u> <u>Y</u>
-4 -9
-3 -7
-2 -5
1 1
0 -1