Answer:
5.80%
Step-by-step explanation:
Given:
The probability of successful treatment of cancer is, [tex]P(Success)=70\%=0.7[/tex]
The probability of successful treatment in a given month is independent of the other month. So, probability of successful treatment for 'n' months in a row is given as:
[tex]P(n-Successes)=(P(Success))^n[/tex]
Plug in 8 for 'n' and determine the required probability. This gives,
[tex]P(8-successes)=(0.7)^8=0.0576=5.76\%\approx5.80\%[/tex]
Therefore, the probability that the treatment was successful 8 months in a row is 5.80% rounded to nearest tenth of a percent.
