Answer:
a)
b)
And using a calculator, excel or the normal standard table we have that:
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
Part a
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
Part b
We want to find this probability:
And we can use the z score given by:
And using this formula we got:
And using a calculator, excel or the normal standard table we have that:
Answer:
25/9
Step-by-step explanation:
I did it on mathaway
Answer:110.9
Step-by-step explanation:
- 1031.60/9.30
- Divide
- Answer: 110.9