Let X be a random variable with cumulative distribution function F(a) = {0, a Solution If a variable is defined at specific values and it cannot take values between the values then it will be discrete random variable. Given CDF is defined at 0.1, 0.2, 0.3 and 0.4 and not in between values. So it is discrete distribution..

1. Let's suppose that a species of mosquito has two different types of simple transposons that we
will call X elements and Z elements. The X elements appear quite stable. When analyzing a
population of 100 mosquitoes, every mosquito has six X elements, and they are always located in
the same chromosomal locations among different individuals. In contrast, the Z elements seem to
“move around” quite a bit. Within the same 100 mosquitoes, the number of Z elements ranges
from 2–14, and the locations of the Z elements tend to vary considerably among different
individuals. Explain how one simple transposon can be stable and another simple transposon can
be mobile, within the same group of individuals.
Let's suppose that a species of mosquito has two different types of simple transposons that we
will call X elements and Z elements. The X elements appear quite stable. When analyzing a
population of 100 mosquitoes, every mosquito has six X elements, and they are always located
in the same chromosomal locations among different individuals. In contrast, the Z elements
seem to “move around” quite a bit. Within the same 100 mosquitoes, the number of Z elements
ranges from 2–14, and the locations of the Z elements tend to vary considerably among different
individuals. Explain how one simple transposon can be stable and another simple transposon
can be mobile, within the same group of individuals.
Solution
Answer:
Simple transposons are basic type of transposable elements containing the transposase gene and
one or two other genes. The transposase recognizes specific sequences called inverted repeats,
allowing the removal and reintegration of the element within the genome. For one transposon to
be relatively stable and another to be very mobile, this is likely a good place to start out
consideration.
As transposase recognizes only the inverted repeats of a particular type of transposable element,
the mosquitoes must have a version of this protein that recognizes the Z elements preferentially,
explaining why the Z elements are so mobile. The inverted repeats of the X elements and Z
elements must have different sequences, and thus the transposase that is moving the Z elements
is not recognizing and moving the X elements, explaining why the X elements are more stable in
their locations.