Answer: Stephon can buy total 4 chips bag and 2 candy bar
Step-by-step explanation:Given as :
The money which Stephon has in his pocket = $ 12
The cost of one chips bag = $ 2.25
The cost of one candy bar = $ 1.50
The total number of items he can buy = 6
So, Let the number of chips bag he can buy = x
∴ The number of candy bar he can buy = 6 - x
Now, according to question
The number of chips bag×The cost of one chips bag + The number of candy bar×The cost of one candy bar = $ 12
Or, x × $ 2.25 + (6-x) × $ 1.50 = $ 12
Or, x × $ 2.25 + 9 - x × $ 1.50 = $ 12
or, x × $ 0.75 = 12 - 9
or, x = = 4
The number of chips bag he can buy = x = 4
And The number of candy bar he can buy = 6 - x = 6 - 4 = 2
Hence Stephon can buy total 4 chips bag and 2 candy bar .
Answer:

Step-by-step explanation:

Answer:
a) p=0.2
b) probability of passing is 0.01696
.
c) The expected value of correct questions is 1.2
Step-by-step explanation:
a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.
b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6
.
Recall that
In this case, the student passes if X is at least four correct questions, then

c)The expected value of a binomial random variable with parameters n and p is
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 
N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.