Answer:
We use the Binomial Distribution where p =.84 then probability will be 0.931.
Step-by-step explanation:
P(X≥ 2) = P(X=2) + P (X=3)
= (³₂)(.84)^2(.16) + (³3)(.84)^3(.16)⁰
≅ 0.931
Hence 0.931 is the answer.
<span>49/24 of 15/14 is just their product, thus
</span>
<span>
</span>
All real numbers is the correct answer
Answer:
Attached below
Step-by-step explanation:
Given that A is a matrix with independent rows
<u>A) Prove </u><u> is invertible </u>
rank of A = number of rows of Matrix A
This shows that | A | ≠ 0 ( i.e. A has a full rank )
also ≠ 0
and = | A | ≠ 0
Hence we can conclude that is invertible
<u>B) Prove that b is any vector in Col( A ) </u>
Attached below is the detailed solution
<u>C) Mapping of Col ( A ) to Row ( A ) </u>
b is a non-zero vector hence AXr = 0 ( i.e. there is no solution )
also the kernel of the mapping will be Null
show that mapping preserves the operation
attached below is the detailed solution