Answer:
Step-by-step explanation:
Since the scores of the math test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = math test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 76
σ = 5
The probability that a student scored below 65 is expressed as
P(x < 65)
For x = 65
z = (65 - 76)/5 = - 2.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.014
The percentage of students that scored below 65 is
0.014 × 100 = 1.4%
