Answer:
a) We know that the distribution for X is given by:
The density function for this distirbution is given by:
So then the height of the uniform density curve would be given by:
b) For this case we want to calculate the following probability:
And we can use the cumulative distribution function given by:
And we can calculate the probability like this:
Step-by-step explanation:
For this case we define our random variable X="Lindsay's late arrival time, in minutes"
Part a
We know that the distribution for X is given by:
The density function for this distirbution is given by:
So then the height of the uniform density curve would be given by:
Part b
For this case we want to calculate the following probability:
And we can use the cumulative distribution function given by:
And we can calculate the probability like this: