Question: The problems seems pretty straightforward, but I am just getting stuck still when trying to figure out the probabilities. I understand the setup, but when

The problems seems pretty straightforward, but I am just getting stuck still when trying to figure out the probabilities. I understand the setup, but when calculating the probabilities I always find myself missing a piece and not knowing where to continue. Any help is greatly appreciated thanks!!

The problems seems pretty straightforward, but I am just getting stuck still

6. You are a botanist, studying the genetics of plants that can be tall or short, and can have red or blue petals. If both parents share a trait, then the offspring will have that trait. For example, if both are short, then their offspring will be sort too, similarly if both have blue petals. However, if the parents have different heights, their offspring will be tall 75% of the time, and if the parents have differently colored petals, their offspring will equally likely have red and blue petals. In an experiment, you select the parent traits uniformly at random and independently of each other. Namely, each parent is equally likely to be short or tall, and to have red or blue petals. (a) What is the probability that the offspring plant is short? (b) If the offspring has blue petals, what is the probability that both parents had blue petals? (c) Is the offspring having red petals independent of the offspring having blue petals? (d) Finally select two redpetal plants, one short and one tall, and breed them twice, pro~ ducing two offspring. Then breed the two offspring plants to create a new offspring, a \"grandchild\" of the initial parents. What is the probability the grandchild is tall with red petals

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!