Answer: Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.
Step-by-step explanation:
Since we have given that
Demand function is stated as
Supply function is stated as
We need to find the equilibrium price and quantity for this device.
For equilibrium, D(p) = S(p).
so, it becomes,
and when we put the value of p in any function:
Hence, Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Step-by-step explanation:
f(x) = 3x² - 2x + 7
f(-2) = 3(-2)² -2(-2) + 7
= 3(4) + 4 + 7
= 23
Answer:2.26796
Step-by-step explanation:
