How to simplify -12 divided by 3•(-8+(-4) to the seccond power-6)+2
1 answer:
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Answer:
a) A response of 8.9 represents the 92nd percentile.
b) A response of 6.6 represents the 62nd percentile.
c) A response of 4.4 represents the first quartile.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 5.9
Standard Deviation, σ = 2.2
We assume that the distribution of response is a bell shaped distribution that is a normal distribution.
Formula:
a) We have to find the value of x such that the probability is 0.92
P(X < x)
Calculation the value from standard normal z table, we have,
A response of 8.9 represents the 92nd percentile.
b) We have to find the value of x such that the probability is 0.62
P(X < x)
Calculation the value from standard normal z table, we have,
A response of 6.6 represents the 62nd percentile.
c) We have to find the value of x such that the probability is 0.25
P(X < x)
Calculation the value from standard normal z table, we have,
A response of 4.4 represents the first quartile.
Answer:
The area (probability) is: 0.6864.
Step-by-step explanation:
According to the statement, we are in front of a normal distribution with the following parameters:
µ (mean) = 0
σ (Standard deviation) = 1.
Then we need to find the area of the shaded region, which is the area between the points -1.21 < z < 0.84.
And the area (probability) is: 0.6864.
