Answer:
a) 0.16
b) 0.0518
c)
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
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.
For a proportion p in a sample of size n, we have that the mean is and the standard deviation is
In this problem, we have that:
a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications.
The mean of p is 0.16.
b. Find the standard deviation of p.
c. Compute an approximation for P ( p leq 0.15), which is the probability that there will be 15% or fewer minority member applications in a random sample of 2100 drawn from all applications. Round your answer to four decimal places.
This is the pvalue of Z when X = 0.15. So
has a pvalue of 0.4247
Answer:
C. An increase of 20%
Step-by-step explanation:
50/100 = 60/x
Cross products
50
x = 6000
Divide 50 by both sides
x = 120
60 is 120% of 50, so there is a 20% increase
Hope this helps!
-Jerc
Just work it backwords 57-3=54 then because this is hakf his original amount of books multioky by 2 and you get the answer 108. I hope this helped. :)
Y = x² - 11x + 24
0 = x² - 11x + 24
x = <u>-(-11) +/- √((-11) - 4(1)(24))</u>
2(1)
x = <u>11 +/- √(121 - 96)</u>
2
x = <u>11 +/- √(25)
</u> 2
x = <u>11 +/- 5</u>
2
x = <u>11 + 5</u> x = <u>11 - 5</u>
2 2
x = <u>16</u> x = <u>6</u>
2 2
x = 8 x = 3
The x - intercept of the equation is equal to {8, 3}.
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Certain because they are both possibilities