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rossd63 rossd63
  • 01-02-2017
  • Mathematics
Answered

What is the probability that an interaction lasts longer than 4 minutes with a mean of 3 minutes and a standard deviation of 0.4 minutes

Verified Answer :

LammettHash
LammettHash LammettHash
  • 01-02-2017

Assuming interaction duration is normally distributed, you have

\(\mathbb P(X>4)=\mathbb P\left(\dfrac{X-3}{0.4}>\dfrac{4-3}{0.4}\right)=\mathbb P(Z>2.5)\approx0.0062\)

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