An apartment building has the following distribution of apartments: If an apartm

Question

An apartment building has the following distribution of apartments: If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms? A) 6/11 B) 14/17 C) 8/11 D) 11/17 What is the correct relationship between events A and B: A: Karl is college graduate. B. Karl is a high school graduate. A) A and B are mutually exclusive B) B is the complement of A. C) A and B are not mutually exclusive. D) If B is not true, A cannot be true Let A and B be events with P(A) = 0.7, P(B) = 0.3 and P(B|A) = 02. Find P(A and B). A) 0.06 B) 0.29 C) 0.21 D) 0.14 A fast-food restaurant chain has 617 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 617 to test market a new menu. Given that the outlet is located in the West (either SW or NW), what is the probability that it is in a city with population 50,000-500,000? A) 0.159 B) 0.764 C) 0.278 D) 0.373 Determine whether the table represents a discrete probability distribution. A) Yes B) No

Explanation / Answer

Question 33) Solution:-

Total number of outcomes = 3 + 1 + 1 + 1 + 3 + 4 + 1 + 2 + 1

= 17
Number of outcomes for 2nd floor = 1 + 3 + 2
= 6
Number of outcomes for 2 bedrooms = 1+ 3 + 4
= 8
  
The probability that it is on the 2nd floor or has 2 bedrooms = 6/17 + 8/17
= 14/17

So the correct answer is option B.

Question 34) Solution:-

From the given information, We have

A: Karl is college graduate.

B: Karl is a high school graduate.

From the definition of Mutually Exclusive

When two events (call them "A" and "B") are Mutually Exclusive it is impossible for them to happen together:

P (A and B) = 0

"The probability of A and B together equals 0 (impossible)"

It meant that event A and event B are not mutually exclusive.

So the correct answer is Option C.

Question 35) Solution:-

From this definition, the conditional probability P(B|A) is easily obtained by dividing by P(A):

P(B/A) = P(A and B) / P(A)

Substitute the given values of P(B/A) = 0.2 and P(A) = 0.7 into the above formula we have,

0.2 = P(A and B) / 0.7

P(A and B) = 0.14

So the correct answer is Option D.

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