How many four-leaf clovers are there per square meter in a field of leaf clovers? Assume that the occurrence follows a Poisson process with rate \(\lambda\). You look at three independent leaf clover fields. The first field is \(t_{1}=1.9 \mathrm{~m}^{2}\) in area, and has \(n_{1}=0\) fourleaf clovers. The second field has an area of \(t_{2}=0.7 \mathrm{~m}^{2}\), and has \(n_{2}=3\) four-leaf clovers, whereas the third spot of area \(t_{3}=1.2 \mathrm{~m}^{2}\) has \(n_{3}=1\) four-leaf clovers. Use a neutral prior, and find a 90\% credible interval for \(\lambda\).