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In Exercises 87 and $88,(a)$ show that the nonnegative function is a probability density function, (b) find $P(0 \leq x \leq 4),$ and (c) find $E(x) .$ $f(t)=\left...

Question

In Exercises 87 and $88,(a)$ show that the nonnegative function is a probability density function, (b) find $P(0 \leq x \leq 4),$ and (c) find $E(x) .$ $f(t)=\left\{\begin{array}{ll}{\frac{1}{7} e^{-t / 7},} & {t \geq 0} \\ {0,} & {t<0}\end{array}\right.$

In Exercises 87 and $88,(a)$ show that the nonnegative function is a probability density function, (b) find $P(0 \leq x \leq 4),$ and (c) find $E(x) .$ $f(t)=\left\{\begin{array}{ll}{\frac{1}{7} e^{-t / 7},} & {t \geq 0} \\ {0,} & {t<0}\end{array}\right.$



Answers

In Exercises 87 and $88,(a)$ show that the nonnegative function is a probability density function, (b) find $P(0 \leq x \leq 4),$ and (c) find $E(x) .$
$f(t)=\left\{\begin{array}{ll}{\frac{1}{7} e^{-t / 7},} & {t \geq 0} \\ {0,} & {t<0}\end{array}\right.$


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