Problem 3 A bowl contains 24 balls of various colors: color balls in bowl color Consider drawing a random sample of size 10 with replacement from the bowl. Fill in the following table of expected values of the numbers of balls of each color in the random sample. Fill in the expected values fuschia baby blue baby blue fuschia beige black 6 5 6 7 expected number (Q3) (Q4) Consider the following possible outcome of drawing the random sample: (Q5) color balls in sample 2 beige baby blue fuschia beige black 4 2 2 (Q6) black The probability of this outcome is (Q7) The chi-squared statistic for this outcome is (Q8) Is the chi-square curve with 3 degrees of freedom a good approximation to the probability histogram of the chi-squared statistic for a random sample of size 10 with replacement from this bowl? (Q9) ? ✓

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