Answer:
the correct solution has been explained
Step-by-step explanation:
Jackson,s reasoning is incorrect because it should be 8 ones and not 8 tens that would give 64
Moreover,
as
whereas = 8
clearly, both quantities are different
Todd is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even} and let B = {the sum of t
he number cubes is divisible by 2}. List the outcomes in A ∩ B.
{3, 6, 9, 12}
{2, 4, 6, 8, 10, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{0,2,4,6,8,12}
{3, 6, 9, 12}
{2, 4, 6, 8, 10, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{0,2,4,6,8,12}
1 answer:
2 number cubes.
<span>Let A = {the sum of the number cubes is even}
Let B ={the sum of the number cubes is divisible by 2}
Let A = {2,4,6,8,10,12}
Let B = {2,4,6,8,10,12}
</span><span>A ∩ B refers to intersection of events where A intersect B. Intersection refers to the sums that are common between that two events. These sums are both even and divisible by 2.
</span>
The outcomes in A ∩ B are <span>{2, 4, 6, 8, 10, 12}.
</span>All even numbers are divisible by 2.
<span>Let A = {the sum of the number cubes is even}
Let B ={the sum of the number cubes is divisible by 2}
Let A = {2,4,6,8,10,12}
Let B = {2,4,6,8,10,12}
</span><span>A ∩ B refers to intersection of events where A intersect B. Intersection refers to the sums that are common between that two events. These sums are both even and divisible by 2.
</span>
The outcomes in A ∩ B are <span>{2, 4, 6, 8, 10, 12}.
</span>All even numbers are divisible by 2.
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Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:
Z = 0.59.
Z = 0.59 has a p-value of 0.7224.
1 - 0.7224 = 0.2776.
0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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