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The time it takes 5th graders to complete a particular mathematics problem are Normally distributed with a mean 2 minutes and a standard deviation of 0.8 minutes.
a. Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem.

Answer :

Answer

0.266

Step-by-step explanation:

x  ~ N(2,0.[tex]8^{2}[/tex])

P(x>2.5)

=P(Z>[tex]\frac{2.5-2}{0.8}[/tex])

=p(z >0.625)

=1-   Φ(0.625)

= 1 - 0.734

=0.266

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