Answer: option 1
Step-by-step explanation: By constructing a 99% confidence interval for population proportion, it implies that the principal is 99% sure that the confidence interval will contain the population proportion.
When we construct confidence interval, we do so to show that the population parameter that we are looking for is present in the interval at a specified confidence level.
Answer:
{0}
Step-by-step explanation:
14 + 8m = 14 - 3m - 5m
Combine like terms
14 + 8m = 14 - 8m
Add 8m to each side
14 +8m +8m = 14 -8m +8m
14 +16m = 14
Subtract 14 from each side
14-14 +16m = 14-14
16m = 0
Divide by 16
16m/16 = 0/16
m = 0
Pythagorean Theorem is a^2 + b^2 = c^2
Use it to find the hypotenuse of a right triangle
Formula for:
Volume of cones- 1/3 * 3.14 * r^2 * h
Volume of cylinders- 3.14 * r^2 * h
Volume of Spheres - 4/3 * 3.14 * r^3
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 ![E[X] = np](https://tex.z-dn.net/?f=E%5BX%5D%20%3D%20np)
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 
