I need help to see if my answers are correct.

1. A bin contains 64 light bulbs of which 10 are defective. If 5 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary. SLO-1

• 0.844
• 0.428
• 0.484
• 0

I selected 0.428?

2. Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers. SLO-1

• 1/216
• 1/729
• 1/2
• 2

I chose 1/216

3. A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

• 0.027
• 0.429
• 2.1
• 0.343

I chose 0.343

4. Construct a 90% confidence interval for the population mean. . Assume the population has a normal distribution. A sample of 15 randomly selected math majors has a grade point average of 2.86 with a standard deviation of 0.78. Round to the nearest hundredth. SLO-2

• (2.51, 3.21)
• (2.28, 3.66)
• (2.41, 3.42)
• (2.37, 3.56)

I chose (2.51, 3.21)

5. A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 25 CEOs. The interval was (110,389, $128,192). Give a practical interpretation of the interval.

• A) 90% of the sampled CEOs have salaries that fell in the interval $110,389 to $128,192
• B) 90% of all CEOs in the electronics industry have salaries that fall between $110,389 to $128,192
• C) We are 90% confident that the mean salary of the sampled CEOs falls in the interval $110,389 to $128,192
• D) we are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $110,389 to $128,192

I chose D) we are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $110,389 to $128,192

please correct me if I'm wrong!!!!!!