Find the value of x in kite EFGH
2 answers:
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Answer:
a) We need to check two conditions:
1)
2)
So we satisfy the two conditions so then we have a probability distribution
b)
And we can use the complement rule and we got:
c)
d) For this case we see that the result from part b use the probability calculated from part c using the complement rule.
Step-by-step explanation:
For this case we have the following probability distribution given:
C 0 1 2 3 4 5 6 7 8
P 0.05 0.14 0.34 0.24 0.11 0.07 0.02 0.02 0.01
And we assume the following questions:
a) Verify that this is a probability distribution
We need to check two conditions:
1)
2)
So we satisfy the two conditions so then we have a probability distribution
b) What is the probability one randonmly chosen classmate has at least one child
For this case we want this probability:
And we can use the complement rule and we got:
c) What is the probability one randonmly chosen classmate has no children
For this case we want this probability:
d) Look at the answers for parts b and c and explain their relationship
For this case we see that the result from part b use the probability calculated from part c using the complement rule.
ANSWER
The simplest form of the ratio
is
EXPLANATION
The ratio given to us is
We can divide each term in ratio by the same number.
To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
This implies that,
We simplify this to obtain,
The correct answer is C.
Alternatively,
This implies that,
The simplest form of the ratio
is
EXPLANATION
The ratio given to us is
We can divide each term in ratio by the same number.
To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
This implies that,
We simplify this to obtain,
The correct answer is C.
Alternatively,
This implies that,
Let X be the number of lightning strikes in a year at the top of particular mountain.
X follows Poisson distribution with mean μ = 3.8
We have to find here the probability that in randomly selected year the number of lightning strikes is 0
The Poisson probability is given by,
P(X=k) =
Here we have X=0, mean =3.8
Hence probability that X=0 is given by
P(X=0) =
P(X=0) =
P(X=0) = 0.0224
The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224