heathermhunt22
Answered

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Statistics 12. The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results. If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to three decimal places as needed.
Number of Customers
9, 10, 12, 4, 4, 2, 2.
Waiting Time (minutes)
0-3, 4-7, 8-11, 12-15, 16-19, 20-23, 24-27.​

Sagot :

Using the frequency table and the probability concept, it is found that there is a 0.5581 = 55.81% probability that the waiting time is at least 12 minutes or between 8 and 15 minutes.

  • A probability is the number of desired outcomes divided by the number of total outcomes.
  • In this problem, the frequency table gives these numbers of outcomes.

At least 12 minutes or between 8 and 15 minutes is equivalent to at least 8 minutes, thus at least 8 minutes is our desired outcome.

  • There are 9 + 10 + 12 + 4 + 4 + 2 + 2 = 43 customers.
  • Of those, 24 spent at least 8 minutes.

Thus, the probability is:

[tex]p = \frac{24}{43} = 0.5581[/tex]

0.5581 = 55.81% probability that the waiting time is at least 12 minutes or between 8 and 15 minutes.

A similar problem is given at https://brainly.com/question/15536019

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