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Ronch [10]
3 years ago
11

The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. Wha

t is the probability that a student will finish the test in less than 70 minutes?
Mathematics
1 answer:
valkas [14]3 years ago
3 0
The answer is 0.3413 because Explanation:

<span>z=<span><span>x−u</span>σ</span></span>, where <span>u=6 0andσ=10</span>.

Therefore the probability student finish the test between 50 to 60 minutes is,

<span>P<span>(50≤x≤60)</span>=P<span>(<span><span>50−60</span>10</span>≤z≤<span><span>60−60</span>10</span>)</span></span>

<span>P<span>(−1≤z≤0)</span>=P<span>(z≤0)</span>−P<span>(z≤−1)</span></span>

<span>=0.5000−0.1587=<span>0.3413</span></span>

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