Good Day,

A homework priority of Mine are the following questions can You support the solution process?

Here goes:

1. Suppose 100 people respond to a consumer survey. Of these, 70 live in a city. Of these 70 city residents, 40 are over the age of 30 years. Determine the probability that a randomly selected individual who responded to the survey is over 30 years of age and lives in a city.

2. A Sydney fruit merchant knows from experience that 2% of cartons of bananas from Queensland are damaged during transportation to the Sydney fruit market, whilst 1% of cartons from the NSW north coast are damaged during transportation to the market. Suppose the merchant receives a consignment of 100 cartons from Queensland and 100 cartons from the NSW north coast. What is the probability that at least one of the 200 cartons is damaged during transportation? Assume that the probability of any one carton being damaged is not influenced by the condition of any other carton.

3. The 1,000 students in a first year undergraduate accounting class can be classified as follows: Male Female

Full fee paying 155 260 Non-full fee paying 300 285 (a) If a student is selected randomly from this accounting class, what is the probability that this student is full-fee paying? (b) If the student selected is female, what is the probability that she is full-fee paying? (c) If the student is male, what is the probability that he is non-full fee paying? (d) Demonstrate that the variables gender and fee paying status are statistically dependent.

Kind Regards,

Cindy.