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 
6x^2 + 7x - 5 = (3x + 5)(2x - 1)
Its 2x - 1
Answer:
Converges at -1
Step-by-step explanation:
The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.
We will make use of integral by parts to determine:
let:





We can therefore determine that if x tends to 0 the limit is -1

Answer:
Subtract two from 8, the remainder is x. In this case, it is 6.
For future questions, try to think of x as a mystery number rather than a letter. You got this. :)
Answer:
I believe it is Dilation
Step-by-step explanation: