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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?

Sagot :

Answer:

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

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