Your chance of winning the Mega Millions lottery jackpot if

Your chance of winning the Mega Millions lottery jackpot if you buy one ticket is about 1 in 303 million.  Each week you buy 50 tickets.  How long will it take you to win the jackpot?  

Group of answer choices

about 116,000 years

about 6 million years

about 302 million years

about 50 years

7. DISCUSSION – Sampling extremes

For which of these coin-tossing scenarios are you most likely to get heads on every toss? 

Toss a coin 3 times.

Toss a coin 5 times.

Toss a coin 10 times.

Group of answer choices

They all have the same chance of occurring.

Toss a coin 5 times because there’s a 50-50 chance that heads comes up.

Toss a coin 10 times. The more you toss the coin, the more likely it is that heads comes up

Toss a coin 3 times. The more tosses you make, the less likely it is for a particular heads-tails sequence to occur (like heads on every toss).

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?

Group of answer choices

Yes, because you’re very careful in making sure your sample data is acccurate.

No, because there’s random variation due to sampling

Yes, because the sample tells you what’s happening in the population

No, because the sample is random.

9. DISCUSSION – Lottery winners

The chance of winning the Mega Millions lottery jackpot is 1 in 303 million.  If the chance is that low, how come there are winners? 

Group of answer choices

There are winners because so many people buy tickets (Law of Very Large Numbers)

There are winners because there are some skilled players

Fake news. There are really no winners.

There are winners because someone is cheating

10. DISCUSSION – Weird events

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

Group of answer choices

No answer text provided.

It’s very unlikely to see an observation from a bell-shaped distribution that’s more than 3 standard deviations from the mean. Any such observation could be considered weird because it would be so unlikely

You need more data to decide this.

The empirical rule doesn’t allow you to identify weird observations.