2) What is 3,765.248 rounded to the nearest tenth?
1 answer:
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Answer:
And we can find this probability with 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 average homicide rate for the cities 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 with the complement rule:
Answer:
The probability is 28 % ( approx )
Step-by-step explanation:
Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),
So, this is a binomial distribution,
Binomial distribution formula,
Probability of success in x trials,
Where,
p and q are probability of success and failure respectively and n is the total number of trials.
Let X be the event of resident who are in his or her forties.
Here, p = 12% = 0.12,
⇒ q = 1 - p = 1 - 0.12 = 0.88,
n = 9,
Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)