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

**tutor4helpyou**

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

- 10 years ago

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

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