- #1

whitehorsey

- 192

- 0

2. P[X ≤ x] = 1 - e

^{-αx}

3. Find the probability that at least 3 months will elapse before the release of the first detectable emission.

P[T ≥ 3] = 1 - P[T ≤ 2]

= 1 - (1 - e

^{-.5(2)}) - (1 - e

^{-.5(1)}) - (1 - e

^{-.5(0)})

= -0.0256

I ended up getting a negative number which shouldn't happen but I'm not sure what's wrong.

What is the average time that one must wait to observe the first emission?

P[T = 1] = 1 - e

^{-.5(1)}

= 0.3935?