Answer:
(b)E(x)=1.3087
(c)Variance of x =1.7119
(d)E(y)=2.0447
Step-by-step explanation:
The random variable x refers to the average number of cups of coffee consumed daily.
The total number of respondents equals 1014
(a) Probability distribution for x.
(b) Expected value for x
E(x)=1.3087
(c) Variance for x
Variance
(d)
In order to solve this, we will use proportions. The first step involves converting centimeters to meters by applying dimensional analysis:
Once everything is expressed in meters, we can set up the proportions accordingly. Our proportion becomes
First, we perform cross-multiplication:
Then, by dividing both sides by 0.59, we arrive at x = 18.6 m, or D.
Answer:
Step-by-step explanation:
Given
Straight Line, PS
Where
Required
Determine PS
The image provided shows that RS extends from PS;
This means
Plugging in and
Combine like terms
Therefore, the length of PS is