MDM4U-Grade 12 Data Management Unit 4 Test Science and Maths Assignment Help

Grade 12 Data Management Unit 4 Test

1. A card is chosen from a standard deck, replaced, then another is choosen. This process is repeated three times. (K, T, C, A) (20 marks)

a. show the probability distribution for the number of face cards in three trials. (5 marks)

b. sketch the graph of distribution. (5 marks)

c. is the number of face cards a discrete or continuous random variable? Why? (5 marks)

d. calculate the expected value of face card. (5 marks).

2. The failure rate is 5% in the initial production run of a new computer chip. A quality control inspector selects 30 chips for testing. (15 marks) (K, T, C, A)

a. what is the probability that more than two of them are defective? (5 marks)

b. sketch the graph of probability distribution of less or equal to two defects. (5 marks)

c. what is the expected number of defective chips? (5 marks)

3. In a box of 20 light bulbs, five are defective. Three light bulbs are selected at random. (K, T, C, A) (15 marks)

a. what is the probability that at least one is defective? (5 marks)

b. sketch the probability distribution. (5 marks)

c. what is the expected number of defective light bulbs? (5 marks)

4. Kunal is trying out for the school football team. He wants to know how far he can kick the ball for a field goal. The table shows the data from 20 trails. (20 marks) (K, T, C, A)

Field Goal Distance (yd)

17 27 31 25 25

44 35 24 31 48

42 48 45 34 41

38 40 43 45 Your mid-

term mark divided by 2

a. sketch a frequency histogram and a frequency polygon for these data. (8 marks)

b. calculate the mean and standard deviation of the data. (8 marks)

c. what is the probability that Kunal kicks a distance of less than 30 yd? (4 marks)

5. The mean mark on a math exam was 70, with a standard deviation of 10. (15 marks) (K, T, C, A)

a. if 200 students wrote the exam, how many would be expected to score between 60 and your mid-term mark? (5 marks)

b. how many students would be expected to score above 90? (5 marks)

c. How many students would be expected to score below 50? (5 marks)

6. An opinion poll surveyed 100 households who were watching television at a particular time. Of these, the percentage of your mid-term mark were watching Hockey Night in Canada. (K, T, C, A) (15 marks)

a. determine the margin of error at a 99% confidence level. (5 marks)

b. Determine the confidence interval for this situation. (5 marks)

c. how would restate this news? (5 marks)

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