Using the normal distribution, it is found that there is a 0.963 = 96.3% probability that on a given day, his commute will be longer than 49 minutes.
<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.
In this problem, the mean and the standard deviation are given, respectively, by:
.
The probability that on a given day, his commute will be longer than 49 minutes is <u>one subtracted by the p-value of Z when X = 49</u>, hence:
Z = -1.78
Z = -1.78 has a p-value of 0.0375.
1 - 0.0375 = 0.963.
0.963 = 96.3% probability that on a given day, his commute will be longer than 49 minutes.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
Pell Grant
Explanation:
Federal grant that is given to low income families.
Answer:
1. A
2. A
3.D
4.A
number 5 I am not so sure of the answer to it its either D or A
Answer:
Take time for yourself every so often, relax, treat yourself, be confident and don't over study. Studying to much can cause stress and you can become overwhelmed super quick, I tend to do it a lot. You don't need to have the perfect score, but don't just get by. Give it all you have and it will pay off, I promise. Don't ever think not making a perfect score on a test will cause your parents to become upset, trying your best will make them proud. You'll see it when you make that above average score! Everyone is intelligent no matter what; you're a smart and talented individual, don't ever forget that. Hopefully everything goes well and good luckk! :)