Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is 

 
 
        
             
        
        
        
Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.
 is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that 
100 such adults
This means that 
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).


0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
 
        
             
        
        
        
You know the following information:
1. The amount of money (in dollars) earned last year was:

2. The amount of money (in dollars) earned this year, is:

Then, to estimate the sum (the total amount of money the Software Company earned in those two years, you can round the numbers to the nearest billion.
Having: 

You need to look at the digit located in the Hundred millions place. Notice that this is:

Then, since:

You need can't round up. Then:

Now, having:

You can identify that the digit in the Hundred millions place is

Therefore:

Now you can add the numbers rounded:

Hence, the answer is: Option B.
 
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
In the histogram described by the first option, the peak (18) is located at 40-50. Also, a frequency of zero is observed for range 10-20. The cluster from 20–50 means that most of the data is between this range, in fact, only 1 point is located at range 0 - 10, outside this cluster.
 
        
                    
             
        
        
        
11%= 0.11 and 8%= 0.08
0.11 x 67,530=7,428.3
0.08 x 85,740 = 6,859.2
 so person A made more than person b