Martika says factors and multiples are related. Use the equation 6 x 7 = 42 to describe the relationship between factors and mul
1 answer:
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A random variable following a binomial distribution over 
trials with success probability 
has PMF
Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.
The mean is given by the expected value of the distribution,
The remaining sum has a summand which is the PMF of yet another binomial distribution with
trials and the same success probability, so the sum is 1 and you're left with
You can similarly derive the variance by computing
, but I'll leave that as an exercise for you. You would find that 
, so the variance here would be
The standard deviation is just the square root of the variance, which is
Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.
The mean is given by the expected value of the distribution,
The remaining sum has a summand which is the PMF of yet another binomial distribution with
You can similarly derive the variance by computing
The standard deviation is just the square root of the variance, which is
Answer:
Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.
Step-by-step explanation:
Given:
Weight of 1 horse = 1,200 lb
Weight of trailer = 2,700 lb
Jacks'truck can tow a maximum of 5000 pounds.
To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.
Solution:
Let the maximum number of horses that Jack can take be =
Using unitary method to find weight of horses.
If 1 horse weights = 1,200 lb
Then horses will weight in lbs =
Total weight of horses and trailer in lbs =
Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:
Subtracting both sides by 2700.
Dividing both sides by 1200.
From the inequality solution for , we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.