Question A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is $20(\mu)$ points and the standard deviation is $3(\sigma)$ points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. - Provide the final answer as a percent rounded to one decimal place. Provide your answer below: $\%$ FEEDBACK MORE INSTRUCTION SUBMIT

Step 1 ：The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, almost all values lie within 3 standard deviations of the mean. More specifically, 68% of the data falls within the first standard deviation, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Step 2 ：In this case, the mean is 20 and the standard deviation is 3. The player scoring less than 26 points is equivalent to the player scoring within two standard deviations from the mean (since 26 = 20 + 2*3). According to the empirical rule, this probability is 95%.

Step 3 ：However, this includes both the probability of scoring less than 20 and the probability of scoring between 20 and 26. Since the distribution is symmetric, these two probabilities are equal, so the probability of scoring less than 26 is half of 95%, or 47.5%.

Step 4 ：Final Answer: The probability that the player scores less than 26 points in a randomly selected game is approximately \(\boxed{47.5\%}\).