SOLUTION: An English monthly test was administered to a class consisting of 40
students. The mean score was 70 marks with a standard deviation of 6.
Calculate the probability that a studen
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Question 1157518: An English monthly test was administered to a class consisting of 40
students. The mean score was 70 marks with a standard deviation of 6.
Calculate the probability that a student obtained this score:
(a) more than 82marks
(b) between 64 and 72marks
(c) less than 50 marks
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
a. Has a z>(82-70)/6 or 2. Note: because a density function, either > or >= may be used equivalently. Probability of z>2 is 0.0228
b.Here the score is between -1 and +1/3 sd and that probability is 0.4719
c. This has a z< -3.33 and that probability is 0.0004.
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