1. A calculator manufacturing company checks 500 calculator units, and 25 of them have non-functioning keys. Approximate the relative frequency of a non-defective unit from this batch of items. Express your answer in the simplest form of a fraction.
2.You toss a coin 50 times and get 12 tails. What is the empirical probability of getting heads? Write your answer in percent form.
3.In which scenario is the experimental probability equal to the theoretical probability?
4. As part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. Participants have an equal chance of receiving each type of coupon. If 900 people participate, how many would be expected to receive a coupon for sleigh rides?
5. Use the table to answer the question.
Type of Pizza Number of Patrons
Cheese 9
Pepperoni 5
Sausage 6
Veggie 7
A local marching band is having a pizza fundraiser. To predict what types of pizza to order, they surveyed patrons on their favorite toppings. If the marching band were to sell 1,299 slices of pizza, predict the number of cheese slices sold.
1. 19/20
2. 76%
3. A coin is flipped six times and the head appears three times
4. 300
5. 433 patrons
100 for con
1. The relative frequency of a non-defective unit is \(\frac{25}{500} = \frac{1}{20}\).
2. The empirical probability of getting heads is \(\frac{38}{50} = 0.76\) or 76%.
3. The experimental probability is equal to the theoretical probability when the experiment is repeated a large number of times, resulting in the relative frequency approaching the theoretical probability.
4. Since participants have an equal chance of receiving each type of coupon, the expected number of people to receive a coupon for sleigh rides is \(\frac{1}{3} \times 900 = 300\).
5. Since there are 27 total patrons and the ratio of cheese slices to total slices is \(\frac{9}{27} = \frac{1}{3}\), the number of cheese slices sold would be \(\frac{1}{3} \times 1299 = 433\).
1. Correct
2. Correct
3. In this scenario, the experimental probability is equal to the theoretical probability as the coin is fair, and the probability of getting a head is 0.5.
4. Correct
5. Correct