Suppose that 20% of the applicants to an engineering school are women. an admissions committee reviews applications in groups of 100. find the probability that the number of women in the next group is:

(a) less than or equal to 28
pr=
(b) between 27 and 42 inclusively
pr=
(c) greater than 28
pr=
(d) less than 8
pr=
(e) exactly 40
pr=
(f) greater than 46
pr=

0.6915

0.4375

0.3085

0.0000023

0.0516

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

i will with my problems and all the other things that need to   be on by the way

step-by-step explanation: