Which account balance represents a debt that is greater than $20 and less than $30
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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
The total number of possible choices that John had for making baked goods for the party is 8.
<h3>What is Combination?</h3>The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
where,
n is the number of choices available,
r is the choices to be made.
We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as .
Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as .
Now, the total possible choices that John had
= The choices of the baked good x The choices of the flavor
Hence, the total number of possible choices that John had for making baked goods for the party is 8.
Learn more about Combination: