+0  
 
0
159
1
avatar

The probability that a college student uses Twitter for social networking is 0.92 if 9 students are chosen at random use the binomial probability formula to find the probability that more than 7 use Twitter

 Feb 16, 2020
 #1
avatar+219 
0

Thanks for the A2A. 

 

First, let's convert .92 into a fraction.

 

That would be 92/100. Now let's figure out the probability of 1 case of 1 number(there are 2 numbers, 8 and 9).

 

To have exactly 8 students, that would be \(\frac{92^8*8}{{100}^{9}}\) probability for 1 case. Compute that and you'll get .041.

 

To find the total number of cases in #8,  ​we can use the combination formula to get \(\frac{9!}{8!}\) which is simplified to 9. 

 

.041 multiplied by 9 is approximately .37.

 

Now we can figure out the probability for exactly 9 students.

 

It is .472. There is only one way we can sort 9 students from 9, so we keep it. 

 

.37+.472  is approximately 84.17%.

 

Cheers!laugh

 Feb 17, 2020

7 Online Users

avatar