Answer:
0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.
This means that 
The probability that at least one part works for one year is 0.9.
This means that: 
We also have that:

So


Calculate the probability that part B works for one year, given that part A works for one year.

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Th matrix is missing. The matrix is :

Solution :
The column of the matrix are
,
, 
Now each of them are vectors in
. But
has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.
Therefore, the column of the given matrix does not form the
as the set contains
than there are entries in each vector.
Therefore, option (D) is correct.
Answer:
99.96%
Step-by-step explanation:
Given the information:
=> the are 25 people in total
Hence, the total possible outcomes of all the members in the 4 committee:
They want us to find the probability that the committee will consist of at least one student, which means that
=(Total possible outcome - committee with no student) / Total possible outcomes
So we need to find the possible outcomes of committee with no student:
=
=> the probability that the committee will consist of at least one student.
= (12650 - 5) / 12650
= 0.9996
= 99.96%
Hope it will find you well.
Answer:
17
Step-by-step explanation:
The computation of the number of elements are in (A ∩ B) is shown below;
Given that
Set A contains 35 elements
And, set B contains 22 elements
Now if there are 40 elements in (A ∪ B)
So, the number of elements are in (A ∩ B) is
= 35 + 22 - 40
= 17
The number of all divisors of 6 <span>
6 multiples of the number 18 we find one of
so the answer is 18
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