Answer:
a)
b)
c)
But we see that the distribution is defined ust between 49.62 and 50.04
And in order to find this we can use the CDF (Cumulative distribution function) given by:
And if we replace we got:
And makes sense since all the values are between 49.62 and 50.04
Step-by-step explanation:
For this case we define the random variable X ="net weigth in pounds of a packaged chemical herbicide" and the distribution for X is given by:
Part a
For the uniform distribution the expected value is given by where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:
Part b
The variance for an uniform distribution is given by:
And if we replace we got:
Part c
For this case we want to find this probability:
But we see that the distribution is defined ust between 49.62 and 50.04
And in order to find this we can use the CDF (Cumulative distribution function) given by:
And if we replace we got:
And makes sense since all the values are between 49.62 and 50.04