1/4 + 1/2t =4, what’s t?
2 answers:
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Answer:
And we can find this probability using the complement rule and the normal standard table or excel:
The firgure attached illustrate the problem
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 retirement savings 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 and the normal standard table or excel:
The firgure attached illustrate the problem
Answer:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 40 dollars
Standard Deviation, σ = 7 dollars
Sample size,n = 51
We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(sample mean would differ by true mean by more than 0.6)
0.5404 is the required probability.