You wish to determine if there is a linear correlation between the two variables at a significance level of o = 0.01. You have the following bivariate data set. X y 23.9 58.8 16.4 74.4 37.7 32.3 104.4 23.9 91.1 44.1 95.2 11.3 40.6 22.8 41.1 34.2 77.7 16 74.5 17.5 67.8 16.1 36.3 30.2 92.5 33.7 105.6 14.6 28.2 70.8 29.2 59.7 27.9 94.8 24.2 71.6 12.1 63.4 61.2 137.4 14.2 39.3 20.1 73.2 30.2 73.8 54.6 79.4 58.9 110.2 27.4 82 51 138.7 What is the correlation coefficient for this data set? r= What is the p-value for this correlation coefficient? p-value = Your final conclusion is that. O There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables. O There is insufficient sample evidence to support the claim the there is a correlation between the two variables.According to i'yiasterl'oodsr the company that manufactures M&M's, 12% of peanut MELM's are brown. 15% are yellow. 12% are red. 23% are blue, 23% are orange and 15% are green. 'fou randomly select four peanut M&M's from an extra-large bag ofthe candies. [Round all probabilities below to four decimal places; i.e. your answer should look like [1.1234, not [1.1234444 or 12.34%.) Compute the probability that exactly three of the four M8M's are orange. Compute the probability that two orthree of the four M&M's are orange. Compute the probability that at most three of the four M&M's are orange. Compute the probability that at least three of the four Mu'LM's are orange. If you repeatedly select random samples of four peanut M&M's, on average how many do you expect to be orange? {Round your answer to two decimal places.) orange M&M's 1INith what standard deviation? {Round your answer to two decimal places.) orange M&M's \f