Carmen thought 30% of the movies were good.
I found the percent by dividing 21 by 70
21/70= .3
.3= 30%
Answer:
it'll take her 36 months
Step-by-step explanation:
i just plugged in random numbers into the calculator-_-
Answer:
The probability that X is between 1.48 and 15.56 is ![P(1.48 \leq X \leq 15.56) = 0.919](https://tex.z-dn.net/?f=P%281.48%20%5Cleq%20X%20%5Cleq%2015.56%29%20%3D%200.919)
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that ![\mu = 8, \sigma = 4](https://tex.z-dn.net/?f=%5Cmu%20%3D%208%2C%20%5Csigma%20%3D%204)
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{15.56 - 8}{4}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B15.56%20-%208%7D%7B4%7D)
![Z = 1.89](https://tex.z-dn.net/?f=Z%20%3D%201.89)
has a pvalue of 0.9706
X = 1.48
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{1.48 - 8}{4}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B1.48%20-%208%7D%7B4%7D)
![Z = -1.63](https://tex.z-dn.net/?f=Z%20%3D%20-1.63)
has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
![P(1.48 \leq X \leq 15.56) = 0.919](https://tex.z-dn.net/?f=P%281.48%20%5Cleq%20X%20%5Cleq%2015.56%29%20%3D%200.919)
The probability that X is between 1.48 and 15.56 is ![P(1.48 \leq X \leq 15.56) = 0.919](https://tex.z-dn.net/?f=P%281.48%20%5Cleq%20X%20%5Cleq%2015.56%29%20%3D%200.919)
Ok, this definition of f is just a bunch of points (4 to be exact).
so if point (a,b) is part of f, then f(a)=b
f(1) is about point (1,0), so f(1)=0.
g(1) = 1 (due to point (1,1))
g(2/3) = 0
f(2) = 3/4
g(-2) = 3
f(π) = -2
just a lookup once you see what is happening