Question

1. A lightbulb factory produces 567 lightbulbs every hour. Approximately 1.96% of the lightbulbs are defective, and do not work. What is the expected number of defective bulbs produced in an hour? The answer does not need to be an integer.

2. A lightbulb factory produces 956 lightbulbs every hour. Approximately 2.91% of the lightbulbs are defective, and do not work. What is the standard deviation of the number of defective bulbs produced in an hour?

3.A call center receives an average of 18 calls per hour. Assuming the number of calls received follows the Poisson distribution, determine the probability would receive exactly 11 calls.Make sure that your answer is between 0 and 1.

4. In 2017 there were 246233 total motor vehicle crashes in Freedonia. Assuming that number reflects the true average now and that it follows the Poisson distribution, what is the probability that at least one accident will occur somewhere in the state of Freedonia in the next minute? Hint: There 525,600 minutes in a year.

Make sure that your answer is between 0 and 1.

Thank you!

Answer 1

1th bulb 13 defective P a Proportien datetive bulb thun Σ xi' = number detective bulbs produuil Tm an hour Cten the problum that Muan, man hor blbs