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 
Answer:

Step-by-step explanation:

Answer:
a) 6.1 feet
b) 12.6 feet
Step-by-step explanation:
Using trigonometric ratios we know that:

AKA SohCahToa.
To find the height, we will use sine.

To find the length we will use cosine.

<span>8 - 3x - 5x = -8
8 - 8x = -8
-8x = -8 - 8
-8x = -16
8x = 16
x = 16/8
x = 2</span>
Answer:
A line is an infinite two dimensional figure