Twenty-five samples of a steel beam were chosen and tested for the Young's modulus. Eight had a modulus of \(E=30 \times 10^{6}\) psi. Two had a modulus of \(E=29 \times 10^{6}\) psi. Fifteen had a modulus of \(E=30.5 \times 10^{6}\) psi. Estimate the following probabilities:

(a) \(\operatorname{Pr}\left\{E>29.5 \times 10^{6} \mathrm{psi}\right\}\), (b) \(\operatorname{Pr}\left\{E>30 \times 10^{6} \mathrm{psi}\right\}\),

(c) \(\operatorname{Pr}\left\{E>28 \times 10^{6} \mathrm{psi}\right\}\).