Use the empirical rule to solve the problem

Empirical Rule for The Normal Distribution Questions Discussion
Subject
Mathematics

Question Description
There are 10 questions here and i need half page answer for each. Its canvas discussion post statistics class.

-On a certain statistics test, the professor said that 90% of the students scored better than average. Discuss whether or not this is possible.

-Which disaster is more likely and why?

1. A large flood in Japan in which more than 1000 people die.

2. A large flood in Japan caused by an earthquake in which more than 1000 people die.

-Suppose that in a random sample of voters, 70% favor gun control. Is it okay to then say that 70% of the population favor gun control? Why or why not?

-Discuss the empirical rule for the normal distribution and how it can be used to identify when something is weird.

-You have a 30% chance of winning a certain bet. You keep playing until you win. What is the chance that you lose the first ten bets? What is the chance that you never win? Explain your reasoning.

-Your chance of winning the Mega Millions lottery jackpot if you buy one ticket is 1 in 303 million. Each week you buy a ticket. How long will it take you to win the jackpot?

-70% of police officers eat donuts. You see someone eating a donut. What is the probability that this person is a police officer?

What additional information, if any, do you need to determine this probability?

-If you toss a coin 1,000 times the average (mean) number of heads equals 500, yet the probability that you will get exactly 500 heads in 1,000 tosses is about .02. Why is this?

-A public opinion poll posted on Facebook will estimate the percentage of people who don’t like taking opinion polls. Is this a good way to administer such a poll? Explain.

-A frustrated freeway driver says, “Whenever I get on the freeway, I always wind up in the slow lane!” Explain why or why not this might be true.