The table and the graph is shown in the following picture
 
        
        
        
First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: 

where 

 is the length of the chord 

 is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so 

 and 

. Lets replace those values in our formula:




Next, to find the minimum speed, we are going to use the formula: 

where

 is <span>drag factor
</span>

 is the radius 
We know form our problem that the drag factor is 0.2, so 

. We also know from our previous calculation that the radius is 

, so 

. Lets replace those values in our formula:



 mph
We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 
13.34 miles per hour. 
 
        
        
        
Using a binomial distribution considering there's a 30% chance it will rain on any of the three days: 
<span>The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. </span>
<span>The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. </span>
<span>The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. </span>
<span>The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. </span>
<span>There's a 65.7% chance that it will rain at least once over the three-day period.</span>