4.2. Binomial Distributions http://www.ck12.org
- Look at the following graphs and indicate whether they could be binomial distributions. Explain how you
know.
a.b.c.d.- In question 3, suppose that the graphs that could be binomial distributions actually are binomial distributions.
Which of these binomial distributions most closely approximates a normal distribution? - A coin is tossed 7 times. What is the probability of getting exactly 4 heads?
- A coin is tossed 9 times. What is the probability of getting exactly 3 tails?
- A coin is tossed 8 times. What is the probability of getting exactly 6 heads?
- A coin is tossed 6 times. What is the probability of getting exactly 2 tails?
- Each citizen in the town of North Liberty flipped a coin 3 times and recorded the number of heads, as did
each resident in the town of South Hampton. North Liberty has 25 residents, while South Hampton has 750
residents. If the frequencies of the numbers of heads were graphed for each town, which town’s graph would
more likely approximate a normal distribution? Explain your answer. - The coin flips for North Liberty and South Hampton in question 9 were simulated with the TI-84 calculator as
shown below. Which graph is most likely the one for North Liberty? Which graph is most likely the one for
South Hampton? Explain your answer.