Final answer:
The question asks for the probability that a normal random variable X with a mean of 100 and standard deviation of 20 is less than or equal to 110. This is found by converting 110 to a z-score and looking up the probability in a standard normal distribution.
Step-by-step explanation:
The question "A normal random variable X has a mean = 100 and a standard deviation = 20. P(X ≤ 110)?" involves calculating the probability that a normal random variable is less than or equal to a specific value. Since the mean (μ) is 100 and the standard deviation (σ) is 20, we use the standard normal distribution to find this probability.
To find P(X ≤ 110), we first convert the value 110 to a z-score using the formula:
z = (X - μ) / σ
Then, we look up this z-score in a standard normal distribution table or use a calculator with this functionality to find the probability. The answer should be rounded to four decimal places as instructed.