Answer:
756
Explanation:
To find the relative frequency of a score of at least 400, we need to add up the frequencies of the scores in the table that are 400 or higher. Looking at the table, we can see that the frequencies for scores of 400-599, 600-799, and 800-999 are 120, 162, and 98, respectively. Adding these frequencies together gives us a total of 120 + 162 + 98 = 380. To find the relative frequency, we divide the total frequency of scores of at least 400 (380) by the total number of games played (600). So, the relative frequency of a score of at least 400 is 380/600 = 0.6333 or approximately 0.63. To estimate the probability of getting a score of at least 400, we use the relative frequency as an estimate. Therefore, the estimated probability of getting a score of at least 400 is 0.63 or 63%. In the second test, where the game is played 1200 times, we can use the estimated probability of 63% to determine how many times we would expect the score to be at least 400. To do this, we multiply the number of games played in the second test (1200) by the estimated probability (0.63 or 63%). 1200 x 0.63 = 756 Therefore, in the second test, we would expect the score to be at least 400 approximately 756 times.