Can you help thank you for my brother due in 14 min please show your work
2 answers:
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Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Answer:
a)
b)
c)
d)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
For this case we want this probability:
And using the mass function we have this:
Part b
For this case we want this probability:
And we can find this using the complement rule:
And if we replace we got:
Part c
For this case we want this probability:
And we can use the complement rule like this:
And if we replace we got:
Part d
The expected value is given by: