Neco 2019 Mathematics Question 7
Practice objective / multiple choice question 7 from the 2019 Neco Mathematics examination.
In a class of 30 students, the scores on Test A have mean \( 68 \) and standard deviation \( 8 \). The scores on Test B have mean \( 75 \) and standard deviation \( 10 \). The correlation coefficient between the two tests is \( 0.6 \). (i) Find the mean and standard deviation of the total score (Test A + Test B) for a randomly selected student. (ii) Assuming the total score is approximately normally distributed, calculate the probability that a student's total score exceeds \( 160 \). Express the probability as a decimal rounded to two places.
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About This Question
This is Neco 2019 Mathematics Question 7. It is one of the objective questions from the 2019 Neco Mathematics examination.
Difficulty level: Hard .
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