2 (32 points} The table below describes the color distribution of plain MScM's candies produced at the Cleveland, Tennessee factory as of 2017 (source here). Suppose all the M&M's referenced in this problem are randomly selected from this distribution, and that all small "fun size\" bags of MIEcM's have 20 candies. Color Proportion Blue 0.207 Orange 0.205 Green 0.198 Yellow 0.135 Red 0.131 Brown 0.124 2.1. You randomly select MeM's from a bottomless bowl. What is the probability you get your rst green one within the rst five M&M's? 22. You randomly select M'eM's from a bottomless bowl. What is the probability it takes you more than three MStM's to get an orange one? 23. You randomly select M&M's from a bottomless bowl On average, how many selections will it take to get your rst brown M&M? 2.4. In a fun size bag, how many blue M&M's are there, on average? 25. In a fun size bag, what is the probability that there are no red MScM's? 26. In a fun size bag, what is the probability that there are at least two yellow MScM's? 2.7. What is the standard deviation of the number of blue M&M's in fun size bags? 28. If Mars Incorporated, the company that makes M&M's, wanted to ensure that 98 percent of all fun size bags have at least one red M&M, then they would have to change the proportion of red MSrM's in their manufacturing to what value