This problem depends on the following set up. Suppose you have a closed container (heated to a fixed temperature) full of a specific gas. We fix a specific gas particle within the container and...

This problem depends on the following set up. Suppose you have a closed container (heated to a fixed temperature) full of a specific gas. We fix a specific gas particle within the container and measure its velocity as x m/s. The random variable x then follows a normal distribution with mean µ and σ = 5 m/s.

B) Find z so that 93.8% of the area under the standard normal curve lies between −z and z.

Note: this is equals to 0.092

C) Suppose that µ is 32.2 m/s. Find the percentage of time that the particle’s velocity is more that 35 m/s.