Respuesta :
Answer:
0.337 is the probability that a randomly selected such woman has cholesterol level between 200 and 240 mg/dl.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 212
Standard Deviation, σ = 45.2
We are given that the distribution of level of cholesterol is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(cholesterol level between 200 and 240 )
[tex]P(200 \leq x \leq 240)\\\\ = P(\displaystyle\frac{200 - 212}{45.2} \leq z \leq \displaystyle\frac{240-212}{45.2}) \\\\= P(-0.2654 \leq z \leq 0.6194)\\\\= P(z \leq 0.6194) - P(z < -0.2654)\\= 0.732 - 0.395 = 0.337 = 33.7\%[/tex]
[tex]P(200 \leq x \leq 240) = 33.7\%[/tex]
0.337 is the probability that a randomly selected such woman has cholesterol level between 200 and 240 mg/dl.
