Write (14+x)+(12x-8) in standard form
1 answer:
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Answer:
a) 56.67% probability that the student is a woman
b) 16.67% probability that the student received an A
c) 63.33% probability that the student is a woman or received an A.
d) 83.33% probability that the student did not receive an A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have that:
30 students
13 men
17 women
2 men that got an A and 11 men that did not get an A.
3 women that got an A and 14 women that did not get an A.
a. Find the probability that the student is a woman.
30 students, of which 17 are women.
56.67% probability that the student is a woman
b. Find the probability that the student received an A.
30 students, of which 5 received an A
16.67% probability that the student received an A
c. Find the probability that the student is a woman or received an A.
30 students, of which 17 are women and 2 are men who received an A. So
63.33% probability that the student is a woman or received an A.
d. Find the probability that the student did not receive an A.
30 students, of which 25 did not receive an A.
83.33% probability that the student did not receive an A.
Using the normal distribution, it is found that:
a)
b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
c) Low: $23,519.65, High: $26,580.35.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
Hence the distribution of X can be described as follows:
The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:
X = 33950:
Z = 0.73
Z = 0.73 has a p-value of 0.7673.
X = 14200:
Z = -0.91
Z = -0.91 has a p-value of 0.1814.
0.7673 - 0.1814 = 0.5859.
There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:
X - 25150 = -0.127(12050)
X = $23,519.65.
X - 25150 = 0.127(12050)
X = $26,580.35.
More can be learned about the normal distribution at brainly.com/question/4079902
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