Education researchers estimate that a student’s score y on the PLAANET exam and the number of...
Education researchers estimate that a student’s score y on the
PLAANET exam and the number of days x spent preparing for it are
related by the linear model y = 3x + 11 + where is normally
distributed with a mean of 0 and standard deviation of 2. Find the
probability that a student who studies 12 days will make a score
less than 50.
Homework Answers
here mean value of score for x=12 is 3*12+11=47
hence from normal distribution:
probability that a student who studies 12 days will make a score less than 50 =P(X<50)
=P(Z<(50-47)/2)=P(Z<1.5)=0.9332
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Education researchers estimate that a student’s score y on the
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