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nasty-shy [4]
2 years ago
6

Jeffrey is scuba diving. His elevation changes by -5.5 inches every second. Jeffrey Dives for 30 seconds. What is the total chan

ge in Jeffrey's elevation?​
Mathematics
1 answer:
elena-s [515]2 years ago
8 0
-165...you take -5.5 times 30 and you get -165
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3 years ago
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Cloud [144]

If F_Y(y) is the cumulative distribution function for Y, then

F_Y(y)=P(Y\le y)=P(e^X\le y)=P(X\le\ln y)=F_X(\ln y)

Then the probability density function for Y is f_Y(y)={F_Y}'(y):

f_Y(y)=\dfrac{\mathrm d}{\mathrm dy}F_X(\ln y)=\dfrac1yf_X(\ln y)=\begin{cases}\frac1{y\sqrt{2\pi}}e^{-\frac12(\ln y)^2}&\text{for }y>0\\0&\text{otherwise}\end{cases}

The nth moment of Y is

E[Y^n]=\displaystyle\int_{-\infty}^\infty y^nf_Y(y)\,\mathrm dy=\frac1{\sqrt{2\pi}}\int_0^\infty y^{n-1}e^{-\frac12(\ln y)^2}\,\mathrm dy

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E[Y^n]=e^{\frac12n^2}

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2 years ago
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Step-by-step explanation:

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Answer:

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