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kvasek [131]
2 years ago
10

I am not able to tackle this question. Somebody please help me out

Mathematics
2 answers:
Nataliya [291]2 years ago
5 0

The wire breaks if the load X exceeds some amount. So what you're asked to do is find P(X\ge74) and P(X\ge89).

In either case, transform X to the random variable Z that's normally distributed with expected value 0 and standard deviation 1.

P(X\ge74) = P\left(\dfrac{X-80}3 \ge \dfrac{74-80}3\right) \\ = P(Z \ge -2) \\ = 1-P(Z < -2) \approx 0.9773

P(X\ge89) = P\left(\dfrac{X-80}3 \ge \dfrac{89-80}3\right) \\= P(Z \ge 3) \\= 1 - P(Z < 3) \approx 0.0013

melisa1 [442]2 years ago
3 0
B would be the answer for this question
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