Answer:
The answer is "0.7275".
Explanation:
6 months =26 weeks.
Since we can write pdf in a medium 20 weeks since the distribution is exponential
[tex]P(X<26) =\int_{0}^{26} \frac{1}{20}e^{\frac{-x}{20}} dx \\\\[/tex]
[tex]= \frac{1}{20} \frac{e^{\frac{-x}{20}}}{\frac{-1}{20}}|_{0}^{26} \\\\\\ = -(e^{ \frac{-26}{20}} - e^{0})\\\\\\ = 0.7275[/tex]
