Suppose that the proportion of blood phenotypes in a particular population are as follows: type Proportion A 0.42 B 0.10 AB 0.04 O 0.44 Assuming that the phenotypes of two randomly selected individuals are independent of each other, what is the probability that both phenotypes of two randomly selected individuals match?

So then we can conclude that the probability that both with the same phenotypes of two randomly selected individuals match is 0.3816

Step-by-step explanation:

For this case we have the following probabilities givenL

And for this case we want to find the probability that two phenotypes will mach, so then can be both A, B, AB or O, so we want to find this probability:

Using the condition of independence we can express this probability like this:

And replacing the valus given we have:

So then we can conclude that the probability that both with the same phenotypes of two randomly selected individuals match is 0.3816

answer: options?

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12