Answer:
P(successful product given favorable test market) = 77.19%
P(successful product given unfavorable test market) = 22.81%
P(unsuccessful product given favorable test market) = 25.58%
P(unsuccessful product given unfavorable test market) = 74.42%
Step-by-step explanation:
the information is incomplete since it is missing the numbers:
"A consumer products company found that 44% of successful products also received favorable results from test market research, whereas 13% had unfavorable results but nevertheless were successful. That is, P(successful product and favorable test market) = 0.44 and P(successful product and unfavorable test market) = 0.13. They also found that 32% of unsuccessful products had unfavorable research results, whereas 11% of them had favorable research results, that is P(unsuccessful product and unfavorable test market) = 0.32 and P(unsuccessful product and favorable test market) = 0.11."
probability of being successful and having favorable test market results = 44%
probability of being successful and having unfavorable test market results = 13%
probability of not being successful and having unfavorable test market results = 32%
probability of not being successful and having favorable test market results = 11%
probability of being successful = 44% + 13% = 57%
probability of not being successful = 32% + 11% = 43%
probability of being successful given favorable test market = 44% / 57% = 0.7719 = 77.19%
probability of being successful given unfavorable test market = 13% / 57% = 0.22819 = 22.81%
probability of not being successful given favorable test market = 11% / 43% = 0.2558 = 25.58%
probability of not being successful given unfavorable test market = 32% / 43% = 0.7442 = 74.42%