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zvonat [6]
3 years ago
5

Why​ shouldn't classes overlap when summarizing continuous data in a frequency or relative frequency​ distribution?

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

Step-by-step explanation:

Why shouldn't classes overlap when one summarizes continuous data? If classes overlap, then some observations will be counted in more than one class. This means that certain observations will end up in more than one bar of a histogram, which will misrepresent the data!

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For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
4 years ago
Boskyville is planting trees along both sides of its streets. the trees will be planted 50 feet apart. the first tree on the blo
tresset_1 [31]
The first thing we are going to do for this case is to define the following variable:
 x = number of trees.
 We then have that the equation that represents the problem is given by:
 y = 50 (x-1) + 20
 Rewriting:
 y = 50x - 50 + 20
 y = 50x - 30
 Substituting for y = 390 we have:
 390 = 50x - 30
 We clear x:
 x = (390 + 30) / (50)
 x = 8.4
 nearest whole integer
 x = 8
 Answer:
 
will be planted along one block about 8 trees.
5 0
4 years ago
Read 2 more answers
Make sure to write be specific this is for my math test. i need help im as dumb as a rock
denis23 [38]

Answer:

y intercept is 420

Step-by-step explanation:

6 0
3 years ago
What is the value of x? Enter your answer in the box <br> x =
grin007 [14]
10x-4 + 8x+3 + 91 = 180
18x + 90 = 180
18x = 180 - 90
18x = 90
x = 90/18
x = 5

8 0
3 years ago
Read 2 more answers
12. What is the solution of the system of equations?
Nina [5.8K]

Answer:

no solution

Step-by-step explanation:

Hi there!

We are given this system of equations:

y=-2x+5

y=-2x+20

and we want to find the solution (the point in which the lines intersect)

There are 3 ways to solve a system, but let's use substitution in this case

Both equations are set to y, so they should be equal to each other via a property known as transitivity (if a=b and b=c, then a=c)

-2x+5=-2x+20 (the same as y=y)

Now let's solve for x

add 2x to both sides

5=20

In this case, we got an untrue statement. If this happens, then the lines won't intersect.

If they won't intersect, there's <u>no solution </u>

Hope this helps!

6 0
3 years ago
Read 2 more answers
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