Answer:
a)

b) 
Step-by-step explanation:
Part a
Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:

We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50
For ths uniform distribution the expected value is given by
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

And the variance is given by:

And the standard deviation by definition is just the square root of the variance:

Part b
If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.
For this case we want to find this probability: 
And we can find this probability using the complement rule like this:

And we can use the cumulative distribution function given by:

And we got:

Answer: 8 A.M.
Step-by-step explanation:
I dunno.
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.
Answer:
Having customers fill out a questionnaire about their favorite brand of toothpaste.
Answer:
1+sq root 3/2 or 1+1.732/2
Step-by-step explanation:
sin 30°=1/2
cos 30°= under sq. root 3/2
so
sq root 3= 1.732