In March 1995 the Space Shuttle Carried an Experiment Designed $p(x)=x e^{-x}$

question 78

Multiple Choice

In March 1995 the space shuttle carried an experiment designed by a Harvard student who studies the growth of crystals.Suppose the probability density function of the length, x cm, of a crystal grown in space is modeled by $p(x) =x e^{-x}$ for $x \geq 0$ .The cumulative distribution function giving the probability that a crystal has length $\le$ t cm is represented by P(t) .Which of the following formulas gives the cumulative distribution function P(t) for t $\ge$ 0?

• A) \(\frac{t-1}{e^{t}}\)
• B) \(-\frac{t+1}{e^{t}}\)
• C) \(1+\frac{t-1}{e^{t}}\)
• D) \(1-\frac{t+1}{e^{t}}\)

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