<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given the unit values of inch, foot and mile to convert into centimeters.
Using these conversion units, we are to determine whether which expression in the answer options can be used as the conversion factor to convert kilometers to miles.
So using the given conversion units, we can see that the following is the conversion factor to convert kilometers to miles.
Answer:
Step-by-step explanation:
Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,
X is N(10, 6)
Or z =
is N(0,1)
a) P(X > 5),
=
(b) P(4 < X < 16),
=
(c) P(X < 8),
=
(d) P(X < 20),
=
(e) P(X > 16).
=P(Z>-0.6667)
= 0.2524
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