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Normal Probability Distribution Question The speed of cars passing through a checkpoint follows normal distribution with =62.6 miles per hour and...
Re: Normal Probability Distribution Question
The speed of cars passing through a checkpoint follows normal distribution with µ=62.6 miles per hour and σ=3.7 miles per hour. What is the probability that the next car passing will be between 61 and 70 miles per hour?
***I was able to complete the first half of the problem correctly. I can't figure out how the values in the second half were obtained.***
(70-62.5)/3.7 = 2
(61-62.5)/3.7 = -.043
My answer key tells me that the answer is:
0.9772 - 0.3327 = 0.6445
P[-.043≤ z ≤ +2.0] = P[z≤+2.0] - P[z-.043]
P[-.043≤ z ≤ +2.0] = 0.9772-0.3327=0.6445
My calculations did not give me the values above. HOW did they come up with these values? I've obviously done something wrong.
