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A population of 100 peas includes 30% with 3-peas in a pod, 50% with 4 peas in a pod, and 20% with 5 peas in the pod

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A population of 100 peas includes 30% with 3-peas in a pod, 50% with 4 peas in a pod, and 20% with 5 peas in the pod. a)What is the mean in this population? b)What is the variance? c)You compare this population to two other pea populations that have the same mean number of peas in a pod but different variances. Population X has a variance of 2 and population Y has a variance of 3. You want to bread pea pods with the greatest number of peas in a pod which population do you choose and why (give one reason)? d)In addition to number of peas in a pod you are interested in the size of the peas and desire large pea size. You conduct a study to determine if parent pea size is correlated with offspring pea size. You calculate the correlation coefficient and (r) = 0.1. What does this tell you about pea size in parents and offspring? e)How does this information impact your ability to potentially breed big and many numbered pea pods? (briefly explain your answer)