Answer:
a) 
b) 
c) 
d) 
e) 
Step-by-step explanation:
1) 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".
2) Solution to the problem
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:
3) Part a
4) Part b
5) Part c
![P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2016%29%3D1-P%28X%3E16%29%3D1-P%28X%5Cgeq%2017%29%20%3D%201-%5BP%28X%3D17%29%2BP%28X%3D18%29%2BP%28X%3D19%29%2BP%28X%3D20%29%2BP%28X%3D21%29%2BP%28X%3D22%29%5D)
6) Part d
The expected value is:
7) Part e
The variance is given by:
Is 1 in 3 for every one there is a chance a 2 for instance in thrown. thus 1 in 3
Answer:
y=-1/2x-5
Step-by-step explanation:
Well we know that the slope is -1/2 so we can write the equation like this:
y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)
Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3
-3=-1/2(-4)+b
-3=2+b
Subtract 2 on both side:
-2-3=2-2+b
-5=b
Answer:
y=-1/2x-5
Hope this helps!
Answer:
The opposite of 14 is -14.
Step-by-step explanation:
Opposites are numbers with the same distance from 0 but one is to the right of 0 and the other is to the left of 0.
The opposite of 0 is itself,0.
So the opposite of 5 is -5 since both 5 and -5 have the same distance from 0 and one is to the left and one is to the right of 0.
The opposite of 14 is -14 since both have the same distance from 0 and one is to the right and one is to the left of 0.
You can also think of this question as what can I add to 14 that will give me 0.
The answer is -14 since -14+14=0.
Another word for opposites is additive inverses. When you add additive inverses you get 0.
Another example: What is the opposite of -16?
The answer is 16 since 16+(-16)=0.
Answer:
48 more minutes
Step-by-step explanation:
85 - 37 = 48
