Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
For x < 215:
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999