On average, a team roper misses 1.2 times per practice. Use the appropriate formula to find the probability that on a given practice this roper will miss exactly 3 times this practice.

Answer 1

Recall the formula for a Poisson probability distribution is P(X=x) = (e^-λλ^x)/x! where λ is the mean number of occurrences in the given interval and x is the desired number of outcomes in the given interval.

Here, λ=1.2 and x=3, so P(X=x) = (e^-1.2•1.2³)/3! ≈ 0.087

Thus, the probability that on a given practice the roper will miss exactly 3 times this practice is 0.087

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