Download CCGPS Advanced Algebra

CCGPS Advanced Algebra
Name____________________________________
Unit: 1
Homework: 14
Standards:
MCC9‐12.S.IC.4 Use data from a sample survey to estimate a population mean or proportion; develop a
margin of error through the use of simulation models for random sampling.
Essential Question: How do we estimate measures for populations that are very large? How does margin
of error explain statistical results?
Key Words: binomial experiment, binomial probability distribution formula, desirable outcome, failure, sample
proportion, sample mean, level of confidence, level of confidence, standard deviation
For each problem, calculate the probability, P, using the given information. Round answers to the nearest
hundredth. Use the formulas for binomial probability distribution and for calculating combinations.
1. When rolling a fair six-sided die 12 times, what is the probability of rolling a 5 exactly 2 times?
2. What is the probability of heads coming up 7 times out of 10 when tossing a fair coin?
3. A new product reportedly has a 1/150 defect rate. What is the probability of having no defective products in
a shipment of 100 items?
4. A moving company’s website advertises that its movers arrive on time for 90% of appointments.
What is the likelihood that the movers are on time once if the movers have 3 appointments in
one week?
5. A commercial for eye cream claims that “85% of women saw a reduction in wrinkles” after using the product.
What is the likelihood that a focus group of 10 women chosen to try the product contains 2 women who did not
see a reduction in wrinkles?
6. What is the probability of a fair coin landing heads-up 3 times in 6 tosses?
7. What is the likelihood of a fair six-sided die coming up with a number greater than 2 on 9 out of 10 throws?
8. In Las Vegas, it generally rains only once every 51 days. If you have booked a 7-day vacation, what are the
chances that all 7 days will be sunny?
9. While playing a board game, you throw 2 dice to determine how many spaces you move per turn. If your roll
results in 2 matching numbers, or doubles, you win an extra turn. What is the probability that you roll doubles 3
times in 10 turns?
10. The spinner in a children’s game includes 7 equally sized sections: blue, green, purple, green,
yellow, red, or orange. What is the probability that the spinner will land on green 4 times in
14 turns?