Question

In: Statistics and Probability

3. Assume that the time elapsed between customers entering a retail shop is exponentially decreasing by...

3. Assume that the time elapsed between customers entering a retail shop is exponentially decreasing by 15%. How long will the average customer continue to come before the shop runs out of business.

4. .The weight of the fabled Cobrafish is normally distributed with a mean of 45 kg. and a standard deviation of 6 kg. Approximately what percentage of Cobrafish (rounded to two decimal places) weigh between 30 kg. and 49 kg? Note: You must find the corresponding z-scores by hand, showing your work

5. A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. What is the probability that a car picked at random is travelling less than 105 km/hr. Write your answer as a percentage.

Solutions

Expert Solution

3.time elapsed between customers entering a retail shop is exponentially decreasing by 15%.

= 15% = 0.15

mean =

mean = 6.667  

4.

The following information has been provided:

We need to compute The corresponding z-values needed to be computed are:

Therefore, we get:

5.

The following information has been provided:

We need to compute The corresponding z-value needed to be computed:

Therefore,


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