provide an appropriate response. use the standard normal table to find the probability. assume that blood…

provide an appropriate response. use the standard normal table to find the probability. assume that blood pressure readings are normally distributed with μ = 120 and σ = 8. a blood pressure reading of 145 or more may require medical attention. what percent of people have a blood pressure reading greater than 145?\n\na. 6.06%\nb. 0.09%\nc. 11.09%\nd. 99.91%

provide an appropriate response. use the standard normal table to find the probability. assume that blood pressure readings are normally distributed with μ = 120 and σ = 8. a blood pressure reading of 145 or more may require medical attention. what percent of people have a blood pressure reading greater than 145?\n\na. 6.06%\nb. 0.09%\nc. 11.09%\nd. 99.91%

Answer

Explanation:

Step1: Calculate the z - score

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x = 145$, $\mu=120$ and $\sigma = 8$. So $z=\frac{145 - 120}{8}=\frac{25}{8}=3.125$.

Step2: Find the cumulative probability

Using the standard - normal table, we find the cumulative probability $P(Z\leq3.125)$. Looking up the value in the standard - normal table, we get a value close to $0.9991$.

Step3: Find the probability of $Z > 3.125$

We know that $P(Z>z)=1 - P(Z\leq z)$. So $P(Z > 3.125)=1 - 0.9991=0.0009 = 0.09%$.

Answer:

B. 0.09%