Answer:
a) The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
b)
And we can use the cumulative distribution function given by:
And using this function we got:
c)
And using the complement rule and the cumulative distribution function we got:
Step-by-step explanation:
For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:
Part a
The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
Part b
For this case we want this probability:
And we can use the cumulative distribution function given by:
And using this function we got:
Part c
For this case we want this probability:
And using the complement rule and the cumulative distribution function we got: