B 9.5 to the nearest 10th
C 20 to the nearest whole number
Answer:
Step-by-step explanation:
Since the number of points per game for a certain basketball player is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = number of points per game
µ = mean
σ = standard deviation
From the information given,
µ = 14 points
σ = 2 points
The probability that in a randomly selected game, the player scored more than 8 points is expressed as
P(x > 8) = 1 - P(x ≤ 8
For x = 8,
z = (8 - 14)/2 = - 3
Looking at the normal distribution table, the probability corresponding to the z score is 0.00135
P(x > 8) = 1 - 0.00135 = 0.9987
Converting to percentage, it becomes
0.9987 × 100 = 99.87%
