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 \( P(x\lt 4) \)

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The answer is \(\approx 0.0475 \)

 

\(\textbf{2)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(x\gt 4.2) \)

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The answer is \(\approx 0.9082 \)

 

\(\textbf{3)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(4.5\lt x \lt 5.6) \)

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The answer is \(\approx 0.6380 \)

 

\(\textbf{4)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(3\lt x \lt 5) \)

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The answer is \(\approx 0.4996 \)

 

\(\textbf{5)}\) Mean = 5 and Standard deviation = 0.6
Find \( P(x= 4) \)

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The answer is \( 0\)

 

\(\textbf{6)}\) 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?

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The answer is \(\approx 0.8944\)

 

See Related Pages\(\)

\(\bullet\text{ Normal Distribution Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Onlinestatbook.com)}\)

\(\bullet\text{ Normal Distribution Inverse Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Onlinestatbook.com)}\)

\(\bullet\text{ Statistics Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)

\(\bullet\text{ Normal Distribution (68-95-99.7 Rule)}\)
\(\,\,\,\,\,\,\,\,\)

\(\bullet\text{ Binomial Distribution}\)
\(\,\,\,\,\,\,\,\,p(r)={}_{n}C_{r}(p)^r(1-p)^{n-r}…\)

\(\bullet\text{ Geometric Distribution}\)
\(\,\,\,\,\,\,\,\,P(X=n)=p(1-p)^{n-1}…\)