Alice receives 9 out of the 24 pens.
        
             
        
        
        
Answer:
D. 7.29.
Step-by-step explanation:
For a Normal Distribution:
Q1  = mean - (0.675) * standard deviation
= 8.5 - 0.675*1.8
= 7.285.
 
        
             
        
        
        
Answer:
42.86
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 680 trials
             r = number of success  
            p = probability of success which in our question is 0.55
So, it means X <em>~ </em> 
 
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
                     E(X) = n  p
 p 
        So, E(X) = 680  0.55 = 374
 0.55 = 374
- Standard deviation of Binomial Distribution is given by;
                    S.D.(X) =  
 
                                =  
 
                                =  = 12.97
 = 12.97 
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.