Final answer:
The predicted frequency is 10 for the given formula, while the relative frequency is the observed frequency divided by the total number of trials and should sum up to 1 for the entire sample.
Step-by-step explanation:
The predicted frequency is calculated by multiplying a given probability by the total number of trials. In this case, the formula given is predicted frequency = 1000 × 0.01, which equals 10.
The relative frequency is the ratio of the observed frequency to the total number of trials. It can be expressed as a fraction, a decimal, or a percentage. The formula to calculate relative frequency is Relative Frequency = Observed frequency / Total number of trials. For example, if an event was observed 15 times out of 100 trials, the relative frequency would be 15/100 = 0.15.
To answer part a, you would need to know the observed frequencies to determine which value of x occurred the most. If you tossed a coin 1,000 times as per part b, x could take on values corresponding to 'heads' or 'tails'. Assuming a fair coin, 'heads' and 'tails' should occur most frequently at about the same rate. As for part c, the sum of the relative frequency column should always be 1, since it represents the entire sample.