Question 5 of 29
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is $P(x \leq 47)$ ?
A. 0.84
B. 0.16
C. 0.025
D. 0.975

Answer

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Answer

$\boxed{\text{Final Answer: B. 0.16}}$

Steps

Step 1 ：Calculate the z-score: $$z = \frac{x - \mu}{\sigma} = \frac{47 - 50}{3} = -1$$

Step 2 ：Find the probability from the z-table or CDF: $$P(x \leq 47) = P(z \leq -1) \approx 0.16$$

Step 3 ：$\boxed{\text{Final Answer: B. 0.16}}$