A normal distribution is observed from the times to complete an obstacle course. The mean is 69 seconds and the standard deviati on is 6 seconds. Using the Empirical Rule, what is the probability that a randomly selected finishing time is greater than 87 seconds?
1 answer:
Answer:
P ( z > 87 ) < 0,0015
P ( z > 87 ) < 0,15 %
Step-by-step explanation:
Applying the simple rule that:
μ ± 3σ , means that between
μ - 9 = 60 and
μ + 9 = 78
We will find 99,7 of the values
And given that z(s) = 87 > 78 (the upper limit of the above mention interval ) we must conclude that the probability of find a value greater than 87 is smaller than 0.0015 ( 0r 0,15 %)
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