Final answer:
To find the probability that 5X exceeds 17, standardize the value of 17 and calculate the probability using a standard normal distribution table or calculator.
Step-by-step explanation:
To find the probability that 5X exceeds 17, we first need to standardize the value of 17. Using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation, we have z = (17 - 3) / 2 = 7.
Then, we can calculate the probability using a standard normal distribution table or a calculator. The probability is the area under the curve to the right of z = 7, which is very close to 0.