1.0.1 Worked Examples Set 1

Worked Example 1

The length of the jump of an athlete has a normal distribution with mean 7m and standard deviation 0.1m.

Exercises

1. Calculate the probability that they jump at least 7.15m
2. Calculate the probability that they jump between 6.9 and 7.05m
3. Find the probability that if they jump 3 times all the jumps will be less than 7.15m. (Assume the lengths of the jumps are independent and use the answer to part (a)).

Solution

• Click here for a demonstration of the solution

1.0.2 Videos

• Normal Distribution - Worked Example

• Normal Distribution - Compound Distributions (Journey Times )

• Normal Random Variables - Bicycle Journey Example

• Normal Distribution Worked Example - Paget’s Disease

• Normal Distribution Worked Example Apple Juice Dispenser

• Normal Distribution - Worked Example (Part A)
  

• Normal Distribution - Worked Example Part B
  

• Normal Distribution - Compound Distributions (Journey Times )
  

• Normal Distribution - Worked Example
  

• Normal Distribution Worked Example - Paget’s Disease
  

• Normal Distribution Worked Example Apple Juice Dispenser