What is 2. 3/6 +1/6 +1 2/3
2 answers:
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Answer:
a) 0.2725
b) 0.7275
c) 0.8948
Step-by-step explanation:
This is a binomial distribution probability problem. The formula is:
Where
n is the number of trials [here we are taking 8 person, so n = 8]
x is what we are looking for [in the problem]
p is the probability of success [ 15%, so p = 0.15
q is the probability of failure [q = 1-p = 0.85]
Now,
a)
We are looking for "no one" did fling, so x = 0
Let's put into formula and find out the probability:
So, the probability that no one has done a one-time fling is 0.2725
b)
Atleast 1 person means P(x ≥ 1).
This can be found by:
P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275
THus, Probability that at least one person has done a one-time fling is 0.7275
c)
No more than 2 people means P (x≤2).
This is essentially
P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)
P ( x = 0 ) is found in part (a), which is 0.2725
P (x = 1 ) and P(x=2) can be found using formula:
and
Thus,
P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948
Answer:
A 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up
Solution -Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.
