Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And if we replace the values obtained we got this:
Answer:
a) S = {1, 2, 3}
b) P(odd number) = 
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = 
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is 
. Then that of 3 is 
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = 
Prob(1) + Prob(3)
= 
= 
Answer:Y=30x
Step-by-step explanation:
90-0=90
9-6=3
90/3=30
y=30x
The order from least to greatest would be 1/5, 1/3, then 4/6.
To solve, multiply the fractions so that they all have the same denominator. I multiplied the 1/3 by 10, 1/5 by 6, and 4/6 by 5. After they all have a common denominator, you can easily order them from the numerator.
10(1/3) = 10 / 30
6(1/5) = 6 / 30
5(4/6) = 20 / 30
6/30, 10/30, 20/30
Hope this helps! :)
Answer:1
V = 62.1262 cubic inches
Step-by-step explanation:
The formula for volume of a cone is V = (1/3)πr²h where r is the radius of the base, and h is the height.
We are given the height, h = 7 1/2 inches, or 15/2 inches
We are given the diameter of the base of 5 5/8 inches, or 45/8 inches
The radius is half the diameter, so divide 45/8 by 2. The radius is 45/16.
Plug these values into the formula and find V
V = (1/3)π(45/16)²(15/2)
V = 30,375π/1,536 = 62.12622191
rounding to 4 decimal places gives us 62.1262 cubic inches
