Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A total of 15 devices will be used.
This means that 
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that 
What is the probability that one of the devices fail?
This is 


36.58% probability that one of the devices fail
8 verticals i’m pretty sure if not uh yea
Answer:
Flour 
Sugar 
Butter 
Eggs 
Baking powder 
Vanilla extract 
Step-by-step explanation:
There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat
cookies.
Given cookie recipe makes 24 cookies, so to make 48 cookies you need
portions.
Thus,
1 portion 2 portions
Flour

Sugar

Butter

Eggs

Powder

Vanilla
