20.. Partial Differential Equations

Try these first

1. 1.

   Define Normal Distribution in your own words.

   Hint

   Think about its shape and what the peak represents.

2. 2.

   What is the Empirical Rule?

   Hint

   Consider the percentages and how they relate to standard deviations.

3. 3.

   What is the shape of the Normal Distribution?

   • Square
   • Bell-shaped
   • Triangle

   Hint

   Think about how its graph looks.

4. 4.

   True or False: In a Normal Distribution, the mean, median, and mode are all different.

   • True
   • False

   Hint

   Think about what defining characteristics it has.

5. 5.

   A manufacturing plant produces light bulbs with a mean lifespan of 800 hours and a standard deviation of 50 hours. Calculate the probability that a light bulb lasts more than 850 hours.

   Hint

   Consider using the Z-table to find areas and make your probability calculation.

6. 6.

   In a study, the test scores of students follow a Normal Distribution with a mean of 75 and a standard deviation of 10. What is the probability that a student scores between 70 and 80?

   Hint

   Use the Empirical Rule or Z-table for required probabilities.