Answer:
A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.
B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.
C. The expected value of X is 6.75, and the standard deviation of X is 2.17.
Step-by-step explanation:
The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.
With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

A. P(x=6)

B. P(x≥10)




C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

Answer:
400
Step-by-step explanation:
There is 1 serving of lemon juice to 3 cups water. Hence why it's 1:3 ratio.
Since it's 1:3, then 2 servings to 6 cups of water, so on and so forth.
Multiply your lemon juice servings by 3 to find out how many cups of water for the table.
To find how much lemon juice for 36 cups of water, just divide 36 by 3 to get 12. 12 servings of lemon juice is just right for your 36 cups of water.
the three numbers are 49,56 and 63.