The academic register compiled data on 11,000 students which were summarized

Question 1
The academic register compiled data on 11,000 students which were summarized in a contingency table. The survey results were cross-classified by sex and faculty.
 
SEX    SCIENCE (S)    HUMANITIES (H)    BUSINESS (B)    ARTS (A)    TOTAL
Male (M)    2910    1122    1502    545    6079
Female(F)    2478    1078    1001    364    4921
Total    5388    2200    2503    909    11000

1.1    Suppose that the student is randomly selected what is the probability     that the student is female if it is known that she is a business student?
A)    0.4474
B)    0.5526
C)    0.4898
D)    0.4

1.2    Suppose that the student is randomly selected what is the probability     that the student is not female?

A)    0.4474
B)    0.5526
C)    0.4898
D)    0.8

1.3    Suppose that the student is randomly selected what is the probability     that the student is male if it is known that he is an art student?
 
    0.4474
    0.5526
    0.4896
    0.6
1.4    Suppose that the student is randomly selected what is theprobability     that the student is female?
    0.4474
    0.5526
    0.4898
    0.8
1.5    Suppose that the student is randomly selected what is the probability     that the student not from the humanities faculty?
 
    0.4474
    0.5526
    0.4898
    0.8

Question 2
On the certain route the probability that a plane will arrive late is 0.3. What is the probability that the plane will not arrive late?
 
    0.700
    2.100
    0.343
    0.973
Question 3
If A and B are mutually exclusive events, then their joint probability, that is, P(A and B), is equal to ..........
    0.5
    100
    1
    zero
Question 4
 Let A and B be events with P (A) = 0.375; P (B) = 0.5, and P(A ᴖ B) = 0.25.

CalculateP(A ᴗ B).  Show calculation underneath.
    0.625
    0.5
    0.125
    0.6667
        
P(AUB) =P(A)+P(B)-P(A ᴖ B) = 0.375+0.5-0.25 = 0.625
Question 5
If two events A and B are such that the occurrence or non-occurrence of one has no effect on the probability of the other, they are said to be .........
 
    mutually dependent
    mutually exclusive
    marginal
    independent
Question 6

A balanced coin is tossed 3 times. Let A = {a head is obtained} and B = {a tail is obtained}. Calculate the probability that no head occurs.
 
    0.125
    ⅛
    Beide (a) en (b) / Both (a) and (b)
    0.1667