Answer:
The height of the function for any number of pounds between 0 and 100 is 0.01.
Step-by-step explanation:
As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.
To calculate the height h of the probability density function, we can write:
[tex]\int\limits^{100}_0 {h} \, dx=1[/tex]
If we solved this integration and rearrange
[tex]\int\limits^{100}_0 {h} \, dx=1\\h*(100-0)=1\\100*h=1\\h=0.01[/tex]
The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.
