Normal Distribution (z-score)

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Lesson


Notes

Z-Score Formula

\(z=\displaystyle\frac{\text{value}-\text{mean}}{\text{standard deviation}}\)



Problems & Videos

\(\textbf{1)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(x\lt 4) \)Link to Youtube Video Solving Question Number 1


\(\textbf{2)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(x\gt 4.2) \)Link to Youtube Video Solving Question Number 2


\(\textbf{3)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(4.5\lt x \lt 5.6) \)Link to Youtube Video Solving Question Number 3


\(\textbf{4)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(3\lt x \lt 5) \)Link to Youtube Video Solving Question Number 4


\(\textbf{5)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(x= 4) \)Link to Youtube Video Solving Question Number 5


\(\textbf{6)}\) The increase in weight of beets given a special fertilizer is normally distributed with a mean of 15 ounces and a standard deviation of 4 ounces. What is the probability of a beet increasing by at least 10 ounces?


See Related Pages\(\)

\(\bullet\text{ Normal Distribution Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Onlinestatbook.com)}\)
\(\bullet\text{ Normal Distribution Inverse Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Onlinestatbook.com)}\)
\(\bullet\text{ Statistics Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Normal Distribution (68-95-99.7 Rule)}\)
\(\,\,\,\,\,\,\,\,\)Thumbnail of Normal Distribution Empirical Rule
\(\bullet\text{ Binomial Distribution}\)
\(\,\,\,\,\,\,\,\,p(r)={}_{n}C_{r}(p)^r(1-p)^{n-r}…\)
\(\bullet\text{ Geometric Distribution}\)
\(\,\,\,\,\,\,\,\,P(X=n)=p(1-p)^{n-1}…\)

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