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Use the table to answer the question. This table shows the number of white and red balls selected from Bowl A and Bowl B. Number of White Balls Selected Number of Red Balls Selected Bowl A 45 55 Bowl B 60 40 Bowls A and B contain a number of white and red balls. Clark repeatedly selected a ball from both bowls and recorded the results in a table. If there are 500 balls in Bowl B, what is the estimated difference in the expected number of white and red balls in Bowl B? (1 point) Responses 50 50 100 100 300 300 200 200 Skip to navigation

1 answer

To find the estimated difference in the expected number of white and red balls in Bowl B, we first need to calculate the proportions of white and red balls selected from Bowl A and Bowl B based on the data provided.

From Bowl A:

  • Total balls selected = 45 (White) + 55 (Red) = 100
  • Proportion of white balls = 45 / 100 = 0.45
  • Proportion of red balls = 55 / 100 = 0.55

From Bowl B:

  • Total balls selected = 60 (White) + 40 (Red) = 100
  • Proportion of white balls = 60 / 100 = 0.60
  • Proportion of red balls = 40 / 100 = 0.40

Next, we apply these proportions to the total number of balls in Bowl B, which contains 500 balls.

  • Estimated number of white balls in Bowl B = 0.60 * 500 = 300
  • Estimated number of red balls in Bowl B = 0.40 * 500 = 200

Now, we find the difference between the expected number of white balls and the expected number of red balls in Bowl B:

Difference = Estimated number of white balls - Estimated number of red balls Difference = 300 - 200 = 100

Thus, the estimated difference in the expected number of white and red balls in Bowl B is 100.

So, the correct response is:

100