SOLUTION: )
The table below shows the numbers of two- to five-bedroom houses in the Belmont neighborhood.
Number of Bedrooms Frequency
2 12
3 4
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Question 871914: )
The table below shows the numbers of two- to five-bedroom houses in the Belmont neighborhood.
Number of Bedrooms Frequency
2 12
3 40
4 70
5 3
What is the probability that a randomly selected house will have 3 or fewer bedrooms?
A)
0.560
B)
0.416
C)
0.320
D)
0.584
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
| Number of Bedrooms |
Frequency |
| 2 |
12 |
| 3 |
40 |
| 4 |
70 |
| 5 |
3 |
There are 12+40+70+3 = 125 homes being surveyed.
"3 or fewer" means "at most 3" (think of it as the ceiling or as high as you can go). X = 2 is the lowest you can go on the table while X = 3 is the highest we want. So we just need to calculate P(X = 2) and P(X = 3) then add up them. The variable X is defined as X = number of bedrooms.
From the table, we get the following probabilities
P(X = 2) = 12/125
P(X = 3) = 40/125
Use them to calculate P(X <= 3)
P(X <= 3) = P(X = 2) + P(X = 3)
P(X <= 3) = 12/125 + 40/125
P(X <= 3) = (12 + 40)/125
P(X <= 3) = 52/125
P(X <= 3) = 0.416
So the final answer is 0.416
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