An extensive study of 1200 fun size packs of M&Ms was done to determine the average number of blue M&Ms per pack. The study found that a pack has at most 5 blue M&Ms. The table below is a summary of the study. Number of blue M&Ms per pack 0 1 2 3 4 5 Frequency 30 186 537 240 151 56 Complete the table below to find the expected value of blue M&Ms per fun size pack. Round answers to three decimal places. Value (# blue M&Ms per pack) Probability Value x Probability 0     1     2     3     4     5     Expected Value = ____________ blue M&Ms per pack

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 73 Lane 2 63 Lane 3 Lane 4 85 75 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: O The traffic and lanes are dependent. O The traffic and lanes are independent. O The distribution of traffic is not uniform. OThe distribution of traffic is uniform. H₁: O The traffic and lanes are dependent. O The distribution of traffic is not uniform. O The distribution of traffic is uniform. O The traffic and lanes are independent. d. The degrees of freedom = e. The test-statistic for this data = (Please show your answer to three decimal places.)

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You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 89 Lane 2 90 Lane 3 92 Lane 4 101