How to dynamically update the defaultValue in material UI RadioGroup

Question

I have 2 radio buttons named as "Open" and "Closed". The result is displayed depending upon the value of { status: "Open" } or { status : "Closed"}. My question is how do you understand whether the setFilter() result array length is 0 or >0 ? Following is the code,

<RadioGroup
    row
    aria-label={groupName}
    name={groupName}
    defaultValue={options[0].value}
    onChange={e => setFilter(groupName, e.target.value)}>
    {options.map(option => (
      <FormControlLabel
        key={option.value}
        value={option.value}
        control={<Radio className={classes.darkRadio} />}
        label={<Typography variant={"caption"}>{option.label}</Typography>}
      />
    ))}
  </RadioGroup>

where groupName="status" and e.target.value="Open" or "Closed". Also as I am new to react can anybody explain me how setFilter works ? And how the setFilter result is displayed on screen ?

I am actually trying to change the defaultValue depending upon the result of "Open" or "Close". So if "Open" result array length is 0 then change the default selection to "Close" and vice-versa. I have searched for setFilter many times, looks like it is just a variable and is mentioned in this link, https://github.com/TanStack/react-table/discussions/2247