Answer:
Using the pmf we can find the individual probabilities like this:
And replacing we got:
Step-by-step explanation:
Previous concepts
Let X the random variable that represent the number of people that will become sereiosly ill in two years. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this case the value for would be:
For this distribution the expected value is the same parameter
On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:
Using the pmf we can find the individual probabilities like this:
And replacing we got:
Answer:
Side of square bottom=6.46 m
Height of box=4.31 m
Step-by-step explanation:
Let s be the side bottom
Height of box=h
Volume of box=
Volume of box=
Cost of bottom=$40 per square m
Cost of sides =$30 per square m
Total cost=
Differentiate w.r.t s
Again,differentiate w.r.t s
Substitute s=6.46
Hence, the cost is minimum at s=6.46
Side of square bottom=6.46 m
Height of box=4.31 m
Answer:
2/3 * 1/3 = 2/9
Step-by-step explanation:
You see the top 2 lines being shaded which is 2/3's of the whole square.
The second shaded part only covers 1/3 of the whole square.
Thus, you multiply both parts to figure out the darkest shaded part!
P = (2.5,0)
T=(-1.5,-1)
Point R is located (1.5 -2.5)