Answer:
a) E(X) = 71
b) V(X) = 20.59
Sigma = 4.538
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).
</em>
<em>
Suppose we randomly select 100 tweets.
</em>
<em>a) What is the expected number of these tweets with no reaction?
</em>
<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>
This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.
The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:
![E(X)=n\cdot p=100\cdot 0.71=71](https://tex.z-dn.net/?f=E%28X%29%3Dn%5Ccdot%20p%3D100%5Ccdot%200.71%3D71)
The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:
![V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59](https://tex.z-dn.net/?f=V%28X%29%3Dnp%281-p%29%3D100%5Ccdot0.71%5Ccdot0.29%3D20.59)
Then, the standard deviation becomes:
![\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7BV%28X%7D%3D%5Csqrt%7B20.59%7D%3D4.538)
Range of the data = 13
Solution:
To find the range of the given data:
Let us first define what is range.
Range:
The range of the data set is the difference between the highest value and lowest value of the data set.
i. e. Range = Highest value – Lowest value
In the given number line,
Highest value indicated = 115
Lowest value indicated = 102
Range of the data = 115 – 102
= 13
Range of the data = 13
Hence the range of the given data is 13.
There is no figure.
but you can use A^2 + B^2 = C^2
C is your hypotenuse.
so if you have the other two lengths if you square them and add them you'll have C squared. So you'll have to find the square root of that number to actually find the length.
The three main types of reasoning are as follows:
1. Deductive (contains formal and informal deductive reasoning)
2. Inductive (formal and informal)
3. Abductive (formal)
Hope this helps!