MATH 1342 Name Elementary Statistical Methods Lab Ch.5 - Probability Critical Thinking; Communication Skills; Empirical/Quantitative Skills The following is the number of each color of M&M found in a sample bag of 280 M&M's. Red 39 Orange 58 Yellow 55 Green 38 Blue 27 Brown 63 Suppose you reach into the bag and randomly select one M&M. Calculate the following probabilities. Round your answers to 4 decimals. 1. P (Red) = 2. P (Yellow) = 3. P (Blue) = Suppose you reach into the sample bag and randomly select THREE M&M's. Calculate the following probabilities (with and without replacement). Show your calculations and round your final answers to 4 decimals. 4. The probability that the first M&M is Red, the second M&M is Yellow, and the third M&M is Blue. (with replacement)5. The probability that the rst M&M is Red, the second M&M is Yellow, and the third M&M is Blue. (without replacement) 6. The probability that all three M&M's are Blue. (with replacement) 7. The probability that all three M&M's are Blue. (without replacement) 8. Would it be unusual for all three M&M's to be blue if the sampling is done without replacement? Justify your answer using a complete sentence and proper grammar