A distribution of probabilities is a numerical means of describing all unique combinations and the probabilities for a provided random variable, and the further discussion can be defined as follows:
- The distributions mean (average), basic difference, skewness, as well as courtesies, are among such factors.
- A formula, table, or chart can show a probability distribution for discrete probability distribution X that providing
for all x. - For just a discrete random variable, the probability assigns annual probabilities with only a countless multitude of unique x values.
- <em><u>Each result is likely to be between 0 and 1, including.</u></em>
Therefore, the final choice is "Option A".
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Answer:
And we can find this probability on this way:
Step-by-step explanation:
Previous concepts
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problm
Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
Answer: A
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is
n-4(32.5) > 300;n > 430
