Solve the Equation 7/16 + b - 2/6 = 5/16 Please and Thank You!
1 answer:
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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:
In this question, we have o find the equation of line passing through point (1,1) and is perpendicular to the line
And slope of the given line is 5. And slopes of perpendicular lines are opposite and reciprocal of each other.
So slope of perpendicular line is
Using slope intercept form, which is
Substituting the values of x and y from the given point, and the value of m, we will get
adding 1/5 to both sides
So the required equation of line is