If you have a monitor. Jennet Phoenix Hype. What this means is mono is one, and genic refers to gene, so this is a FINA type that is determined by one gene. So the probability for recess of FINA type in the F two is 1/4. Now, if we have a poly Jinich Tina type, remember, Polly means many and again, genic means gene, So this is a FINA type that's caused by many genes. The F to FINA type will again the 1/4 for the recessive Bina type. But because we don't know how many genes are controlling that particular FINA type, it has to be to the end power. And so we can use this formula to solve part A in our problem. Now, these two sort of rules apply. If you have homes, I guess dominant parents read with each other. It doesn't work if you have other combinations. So the parental caw cross must be all homos, I guess Dominant crossed with all homes, I guess. Process it. And so from the problem in part A. We know there are 256 individuals that were the outcome, and so all we need to do is take this formula and use the information from a part in the question to determine the number of genes that are building a particular FINA type. So here, 1/4 to the end, we're going to convert that to four to the in power equals 256 from the problem. We know that four to the fourth power is 256 so in equals four. The number of genes in this problem that are controlling a given genotype is four. Now for the court beat part. That's good problem. Let's make some notes. We know that the minimum height of the plant is 19 inches, so all recess it plants so they would have too little ace to Little Bee's too little sees. I'm going to underline my sees because I get sloppy and then I won't be able to tell the difference. And neither will you between a big seeking a little sea or if you have a plant that's all recessive. That plant has a height of 19 inches. We also know that a plant that's all dominant so big a big a big, be big B two big seas and two Big D's is 21 inches tall. So then we can subtract to figure out the difference. 21 inches minus nine inches equals 12 inches. We know that there are four genes, right? We know that there are four genes that are controlling this height Tina type, and so we could determine the contribution to height by each gene. And we have to assume that each gene contributes equally to the FINA type. But we have no way of knowing yet, so we have to assume it. So our high differences 12 inches, the number of genes is four, and we divide that, and that tells us that each gene contributes three inches, so three inches her G with violent tackles. See part. So we watch determine what is the probability of hitting in 18 inch plant is. And so if we take the 21 inch plant that tells us that, um, it has to have a peanut time of either all dominance of homeless, I guess dominant or a header Zeiger, but dominant for every trait again, I'm on underlined my see. It's I mean, you could tell him that one, but I do get sloppy, Okay? And then we also know that a nine inch plant is the minimum height for plants, and that's driven by the presence of a recess. It Gina type for all traits. And so we know that each dominant a wheel, it's three inches of heart to the plate. So for 18 inch peanut Time, Way needs a minimum height of nine inches for the recess of trade waas three inches, that's only 12. So that's one dominant Leo, plus three inches that's 15 inches. That's a second dominant over your and then So we need three more inches. Teoh yield an 18 inch plant. That's our goal. And so here this three inches is 1/3 dominant over hell. So what that means is that we have to take this process, it being a time and as one to three dominant A wheels. So here we go. A. There's one. Maybe that's too See, that's three little D little Dean, and that should yield an 18 inch plant. Now it doesn't have to be capital a Capital B Capital C. These can be swapped out so you could have a little a little a pixie make C and Big D that would also yield an 18 inch plant. And so as long as you have three dominant A wheels, you should be able to get an 18 explain, and that's how you would capitalize it. But that's how you would solve this problem is the use of headers like it's and knowing that each dominant olio adds three inches of height to the minimum height plant.