Using the normal distribution, there is a 0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
<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.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
Researching this problem on the internet, the parameters are given as follows:
The probability is <u>one subtracted by the p-value of Z when X = 157</u>, hence:
By the Central Limit Theorem
Z = (157 - 150)/2.85
Z = 2.46
Z = 2.46 has a p-value of 0.993.
1 - 0.993 = 0.007.
0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer:
The answer to your question is below
Step-by-step explanation:
1.- Domain is all the possible values that the independent variable can take.
The function given can to all the real numbers, so,
Domain = R
2.- Range is all the possible values that the dependent variable can take.
The function given can take all the real numbers, so,
Range = R
3.- Inverse function
x = 1/2y + 1
2x = y + 1
y = 2x - 1
Domain = R
Range = R
12 I got it form Socratic
If orange:pineapple:Apple juice ratio is
2:7:5, pineapple juice would make up 7/14 of the whole juice mixture, which equals to 1/2. 1/2 of 3 litres = 1.5 litres
1.5/3 = 1/2
The answer would be B (1/2)
If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).
<h3>What is a residual?</h3>
A residual is the difference between the observed value and the estimated value of the quantity of interest.
The residual of a data points should normally sum up to zero (0). This means the following applies:
-10 + 20 + x = 0
x = 10
Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.
Learn more about residual at: brainly.com/question/27864993
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