Answer:
0.998 is the probability that the average money spent by  a sample of 40 shoppers is within $10 of the actual population mean.
Step-by-step explanation:
We are given the following information in the question:
Standard Deviation, σ = $21.51
We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.
Formula:

We have to find:
P( average money spent is within $10 of the actual population mean.)

Calculation the value from standard normal z table, we have,  

 
        
             
        
        
        
Answer:

Step-by-step explanation:
In a coin toss the  probability of tossing a head is 0.5 (50% head/50% tails) 
If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is: 

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of  so:
 so:

<u>For example, to toss 4 heads in 5 rounds: </u>




 
        
             
        
        
        
Answer:
x=1
Step-by-step explanation:
 
        
                    
             
        
        
        
4*3^2 = 36. Is that what you meant?