Provide the best solutions to the questions and use examples
1. In one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of 100 voters are surveyed from each state.
What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state?
2. Suppose a die is tossed 5 times. What is the probability of getting exactly 2 fours?
3. The average salary for an employee at Own Corporation is $30,000 per year, with a variance of 4,000,000. This year, management awards the following bonuses to every employee.
A Christmas bonus of $500.
An incentive bonus equal to 10 percent of the employee's salary.
What is the standard deviation of employee bonuses?