A bag contains 4 red marbles,
2 answers:
Answer:
Step-by-step explanation:
Part 1: Finding out total number of marbles
To start, we need to find out how many marbles are in the bag.
marbles
Part 2: Removing blue marble and finding probability
After removing the blue marble and <u>not</u> replacing it, we can then infer that we have 14 marbles remaining.
If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.
or a 28.57% chance of occurrence.
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Answer:
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 using the complement rule:
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 problem
Let X the random variable that represent the variable of interest 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 using the complement rule: