In: Math
Meiosisis the process in which a diploid cell that contains two copies of the genetic material produces an haploid cell with only one copy (sperms and eggs). The resulting molecule of genetic material is linear molecule that is composed of consecutive segments: a segment that originated from one of the two copies followed by a segment from the other copy and vice versa. The border points between segments are called points of crossover. The Haldane model for crossovers states that the number of crossovers between two loci on the genome has a Poisson(λ) distribution. Assume that the expected number of crossovers between two loci in a fixed period of time is 2.25.The next 3 questions refer to this model for crossovers. (The answer may be rounded up to 3 decimal places of the actual value.)
1. The probability of obtaining exactly 4 crossovers between the two loci is
2. The probability of obtaining at least 4 crossovers between the two loci is
3. A recombination between two loci occurs if the number of crossovers is odd. The probability of recombination between the two loci is, approximately, equal to ??? (Compute the probability of recombination approximately using the function "dpois". Ignore odd values larger than 9)