Two numbers with a total between 300 and 400
1 answer:
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Answer:
The percent of these mothers are between the ages 30-35 is 36.53%
Step-by-step explanation:
we are given
mean of age =31.7 years
standard deviation of 5.2 years
For age=30 years:
x=30
we can find z-score
we can plug values
For age=35 years:
x=35
we can find z-score
we can plug values
now, we can use normal distribution table
now, we can find percentage
=36.53%
Answer:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using the z score formula we want this probability:
And using the complement rule we got:
And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:
No. This event happens only 2.5% of the time
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 interst of a population, and for this case we know the distribution for X is given by:
Where the mean and
the deviation
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:
Using the z score formula we want this probability:
And using the complement rule we got:
And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:
No. This event happens only 2.5% of the time