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Alisiya [41]
3 years ago
9

An investor is interested in purchasing an apartment building containing six apartments. The current owner provides the followin

g probability distribution indicating the probability that the given number of apartments will be rented during a given month.
Number of Rented Apartments 0 1 2 3 4 5 6
Probability 5/38 9/38 7/38 2/19 3/38 1/19 4/19

Find the number of apartments the investor could expect to be rented during a given month. (Hint: Find the expected value.)

a) 2.7232 b) 2.7632 c) 2.7432 d) 2.7932 e) 2.7732
Mathematics
2 answers:
Vsevolod [243]3 years ago
4 0

Answer:

b) 2.7632

Step-by-step explanation:

To find the mean, we multiply each value by it's probability. So

E = 0\frac{5}{38} + 1\frac{9}{38} + 2\frac{7}{38} + 3\frac{4}{38} + 4\frac{3}{38} + 5\frac{2}{38} + 6\frac{8}{38} = \frac{1*9 + 2*7 + 3*4 + 4*3 + 5*2 + 6*8}{38} = 2.7632

So the correct answer is:

b) 2.7632

Jlenok [28]3 years ago
4 0

Answer:

<u>The correct answer is B. 2.7632</u>

Step-by-step explanation:

Let's find the number of apartments the investor could expect to be rented during a given month, this way:

0 * 5/38 = 0

1 * 9/38 = 9/38

2 * 7/38 = 14/38

3 * 2/19 = 6/19

4 * 3/38 = 12/38

5 * 1/19 = 5/19

6 * 4/19 = 24/19

In consequence,

9/38 + 14/38 + 6/19 + 12/38 + 5/19 + 24/19 =

38 is the Lowest Common Denominator

(9 + 14 + 12 + 12 + 10 + 48)/38 =

105/38 = 2.7632

<u>The correct answer is B. 2.7632</u>

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