Tickets to the college basketball game are $2.50 for students and $3 for general admission. If 54 people attended the last game
1 answer:
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step 1
Find the radius of the circle
To find out the radius, calculate the distance between the center and any point that lie on the circle
so
(-2,3) and (-2,0)
Its a vertical distance
so
r=3-0=3 units
step 2
we have the radius r=3 units and the center (-2,3)
the equation of the circle is
Answer:
a)
b)
And adding these values we got:
c) We can find the expected value given by:
And the standard deviation would be:
We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:
And then we can consider a value of 18 as unusual lower for this case.
Step-by-step explanation:
Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
We want this probability:
Part b
We want this probability:
We can find the individual probabilities:
And adding these values we got:
Part c
We can find the expected value given by:
And the standard deviation would be:
We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:
And then we can consider a value of 18 as unusual lower for this case.