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onna172001
05.01.2021 •
Mathematics
Question 13 pts
Data from Ivy Tech's advising center shows the wait times as a normal distribution with the average as 20 min and a standard deviation as 5 min.
Using the empirical rule, what percent of students wait between 15 and 25 minutes?
What percent wait more than 20 min?
Using the empirical rule, what is the chance that someone waits less than 5 min?
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Ответ:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100
Ответ:
V = 7^2 x 6/3
V = 49 x 2
Volume of A = 98
3136 divided by 98 = 32
B is 32 times bigger than A