Answer
5 would be very confident $0.173$
3 somewhat confident $0.190$
1 not very confident $0.366$
1 not at all confident $0.268$
Work Step by Step
With the given percentages, we can calculate the mean values.
46% Very confident $\mu1=np=10\times0.46=4.6$
41% Somewhat confident $\mu2=4.1$
9% Not very confident $\mu3=0.9$
4% Not at all confident $\mu4=0.4$
Use Poisson formula $P(x)=\frac{\mu^xe^{-\mu}}{x!}$
5 would be very confident $P_1(5)=\frac{4.6^5e^{-4.6}}{5!}=0.173$
3 somewhat confident $P_2(3)=\frac{4.1^3e^{-4.1}}{3!}=0.190$
1 not very confident $P_3(1)=\frac{0.9^1e^{-0.9}}{1!}=0.366$
1 not at all confident $P_4(1)=\frac{0.4^1e^{-0.4}}{1!}=0.268$
