Use the information below to answer the following question(s).
A snack food producer is considering introducing a new product to the consumer
market. It can choose to build a new facility for production of the new product, use an
existing facility, or outsource the production to another company. The company
estimates that the probability of strong demand for this product to be 65% and the
probability of weak demand is estimated at 35%. The company also has the option to
hire a marketing research firm to conduct a study to provide additional information
about the demand that has the following track record:
•Historically, this research firm has predicted a strong demand when the eventual
demand was strong 80% of the time.
•Historically, this research firm has predicted a weak demand when the eventual
demand was weak 85% of the time.
The probability that the market survey will predict a strong demand is ________.
A) 0.5725
B) 0.5918
C) 0.6340
D) 0.6675
According to the MIT Airline Data Project, American Airlines controlled 15.5% of the
domestic market during a recent year. A random sample of 125 domestic passengers
that year was selected. Using the normal approximation to the binomial distribution,
what is the probability that 10 or fewer passengers from this sample were on American
Airline flights?