Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome
of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4? Enter your answer, in simplest fraction form.
1 answer:
We first need a table that lists all outcomes. The table is shown below.
The outcome that is a multiple of 6 are 6 and 12 and there are six outcomes out of 36 total outcomes
The outcome that is a multiple of 4 are 4, 8, and 12 and there are nine out of 36 total outcomes
There are a total of 9+6=15 outcomes of multiple of 6 OR multiple of 4, so the probability is 15/36 which simplified to 5/9
The outcome that is a multiple of 6 are 6 and 12 and there are six outcomes out of 36 total outcomes
The outcome that is a multiple of 4 are 4, 8, and 12 and there are nine out of 36 total outcomes
There are a total of 9+6=15 outcomes of multiple of 6 OR multiple of 4, so the probability is 15/36 which simplified to 5/9
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Answer:
Step-by-step explanation:
Data provided
represent the sample mean in mg per deciliter of cholesterol level
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
Replacing into the formula we got:
P-value
We need to find first the degrees of freedom:
The p value for this case since we have a right tailed test is: