5. The average length of time required for students to complete a test in an fou

Question

5. The average length of time required for students to complete a test in an found to minutes a standard deviation of 12 Statistics coursr students are allowed 65 minutes to complete the test, approximately what percentage of the students will have sufficient time to complete the lest? (Assame that the time required to complete the test follows a normal distribution. 6. The daily sales at the campus bookslore throughout the school year havv a probability distribution that is approximal ely normal with w S1 530 and or S120. The bookstore must have least $1.200 in sales per day to break even. What is the probability that on a ven day the bookskee will break even?

Explanation / Answer

5.

Students are allowed 65 minutes to complete the test

P(X65)Normal distribution ,µ=50

                                                    =12

Since the continuous distribution, P(X65) = P(X<65)

                                                                        

             Z=(x- µ)/

               =(65-50) /12

               =1.25

P(Z<1.25) = 0.8944         ( from the Z value table )

Therefore P(X65)=89.44%

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