Question

Problem What is normal? What makes normal curves different? If you flip 10 coins 1,024 times, what is the total number of times you will get heads? Let's first focus on the theoretical probabilities. The table below shc the expected values and theoretical probabilities obtained. Expected frequency value out of 1,024 Theoretical Number of heads Percent likelihood probability 1 0 1 1024 10 1 10 1024 45 2 45 1024 120 3 120 1024 210 4 210 1024 252 5 252 1024 210 6 210 1024 120 7 120 1024 45 8 45 1024 10 9 10 1024 1 10 1 1024 1. What is the sum of all the probabilities in the third column? 2. Complete the percent likelihood by converting the theoretical probability to a decimal. 2. Complete the percent likelihood by converting the theoretical probability to a decimal. 3. What observations can you make about the data in the table so far? 4. On the axis below, complete the histogram of the theoretical probability for each number of heads. 252 1024 0 123 5 6 7 89 4 Number of Heads et 0 1 2 4 6 7 8 9 Number of Heads 5. Draw a point at the midpoint of the top of each bar. 6. Connect the data points with a smooth curve. What do you observe about the graph's shape? 7. 8. What do you observe about the graph's symmetry? What do you observe about the graph's highest point? 9. 10. What do you observe about the graph's mean/median/mode probability? 11. In the box below, read about the characteristics of a normal curve, and then describe how the curve you drew compares to a normal curve. The graph of a normal distribution is a normal curve. Every normal curve has the following characteristics: The mean, median, and mode are equal. They are bell-shaped and symmetrical about the mea The curve never touches the x-axis, but it comes closer to the x-axis as it gets farther from the mean. n. The total area under the curve is equal to 1 (un)inu 1. What percentage of the students is shorter than 135 cm? 2. What is the probability that the height of a randomly selected student would be greater than 132 cm but less than 138 cm?, 3. How many fourth-grade students are represented in the data? 4. What is the mean height of the data set? Why, or why not? The curve is bell-shaped 5. Does the data appear to be normally distributed? Yes and symmetrical about the mean. Problem 2 The graphs below reflect the number of pets veterinarians own. The value associated with each bar represents the fraction of veterinarians with that many pets.

Answer 1

Pearent likelihood Thsore Fiel Robability Number of heads 0.09 465 10/024 45/024 120%0 24 210//024 252/024 2101024 (20af$ /D24 0.9465 4.3945 2 1.1875 4 90.50%8 24.60 9375 20.5078 St.81k.11 104.5A024 1/024 4.3945 0.9765 10 0.D9765 &um-1 Sum = 100 Sum of all the theoretilal brobabilities 1024 =1 1024 2 Peicent ikeli heod is eheun in the table abone y moncthie So, the data i's ner mally dis tibutad. mde 3 Data is ic about mean=median -m 252 210 10 24 20 45 10 O 123 4 5 6 7 8 9 10 Number of heads

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no data has been provided related the problem in 4 th pic.. Hence cannot be answered.