Answer: Option (1) is the correct answer.
Explanation:
A positron is represent by the symbol [tex]^{0}_{+1}\beta[/tex].
For example, [tex]^{37}_{19}K \rightarrow ^{37}_{18}Ar + ^{0}_{+1}\beta[/tex]
The decay reaction is as follows.
[tex]^{16}_{8}O \rightarrow ^{16}_{7}N + ^{0}_{+1}\beta[/tex]
The reaction will be as follows.
[tex]^{232}_{90}Th \rightarrow ^{228}_{88}Ra + ^{4}_{2}\alpha[/tex]
Therefore, we can conclude that out of the given options positrons are spontaneously emitted from the nuclei of potassium-37.