Enter an integer or decimal number [more..] c. What is the relative frequency of ages 40 to 49 ? d. What is the cumulative relative frequency of lottery winners younger than 50 ? e. How many lottery winners were between 60 and 69 years old? 5

It looks like you’re working on a frequency‐distribution problem about lottery winners’ ages. In many such problems the data are given in a table (with frequencies for each age group), and then you are asked to compute relative frequencies and cumulative relative frequencies. (The “Enter an integer or decimal number [more..]” message is usually the program’s prompt for the answer.) Since only part (e) seems to show a number (“5”) and no complete table is provided here, I’ll explain in general how you would answer each part and then show an example. ───────────────────────────── Understanding the Terms • Relative Frequency of a Group:   This is the number for that group divided by the total number.   For example, if there are F winners aged 40–49 out of a total of N winners, then    Relative Frequency = F/N. • Cumulative Relative Frequency (up to a given point):   This is the sum of the relative frequencies for all age groups below (or up to) that point.   For “lottery winners younger than 50,” you would add the relative frequencies for every age group whose ages are less than 50. • Frequency (as in part e):   If the table shows that there were 5 winners between 60 and 69, then the answer is 5. ───────────────────────────── How to Answer Parts (with an example) Suppose you have the following table of frequencies for lottery winners:   Age Group  Frequency   20–29    8   30–39    12   40–49    10   50–59    15   60–69    5   70–79    4 Total winners, N = 8 + 12 + 10 + 15 + 5 + 4 = 54. a–b. (These parts aren’t mentioned in your question, so we’ll move to c, d, and e.) c. What is the relative frequency of ages 40–49?   Here the frequency for ages 40–49 is 10.   Relative frequency = Frequency / Total = 10/54 ≈ 0.185 (or 18.5%). d. What is the cumulative relative frequency of lottery winners younger than 50?   “Younger than 50” would include the age groups 20–29, 30–39, and 40–49.   Sum the frequencies: 8 + 12 + 10 = 30.   Cumulative relative frequency = 30/54 ≈ 0.556 (or 55.6%). e. How many lottery winners were between 60–69 years old?   From the table, that frequency is 5, so the answer is 5. ───────────────────────────── Your Problem If you already know that the answer for part (e) is 5 and you (or your data) tell you the frequency numbers for the other groups, then you’d simply use the same process:  – Divide the frequency in the desired group by the total for a relative frequency.  – Sum the relevant relative frequencies for a cumulative relative frequency. If you can supply the complete frequency data (or verify the numbers), we can check the arithmetic. Otherwise, using the method described above, you should be able to compute:  c. Relative Frequency of ages 40–49 = (Frequency in 40–49) / (Total winners)  d. Cumulative Relative Frequency for winners <50 = (Sum of frequencies of all groups under 50) / (Total winners)  e. And, as you stated, there are 5 winners in the 60–69 group. I hope this explanation helps clarify how to approach your problem. Let me know if you have the full table or need any further assistance!