The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio
ns must be true?
1 answer:
Answer:
P(B|A)=y
Step-by-step explanation:
The complete question is shown in the attachment.
If the events, A and B are independent, then
P(A and B) = P(A)×P(B)
But from the question:
P(A)=x and P(B)=y
This implies that:
P(A and B) = xy
Also, the conditional probabilities are:
P(A\B)=P(A)=x
P(B\A)=P(B)=y
Therefore the correct answer is A
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Let's see what to do...
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Step (1)
Look : 16 , 10 , 4 , ...
It is an arithmetic sequence.
So first we have to find the value of the ratio(( d )) .
To do this, we need to subtract each sentence minus the previous sentence.
So we have : 10 - 16 = - 6
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Step (2)
To find the nth sentence in an arithmetic sequence, we must use the following equation :
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Step (3)
To find the 6th term just need to put the following parameters in the above sequence.
t(1) = 16 ------ n = 6 ------ d = -6
_________________________________
And we're done.
Thanks for watching buddy good luck.
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Answer:
a)
b) Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
c)
And we can use the complement rule and we got:
d)
And we can use the complement rule and we got:
e)
And we can use the complement rule and we got:
Step-by-step explanation:
a. If we select a random sample of 50 households, what is the standard error of the mean?
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the amount of life insurance of a population, and for this case we know the distribution for X is given by:
Where and
If we select a sample size of n =35 the standard error is given by:
b. What is the expected shape of the distribution of the sample mean?
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
c. What is the likelihood of selecting a sample with a mean of at least $112,000?
For this case we want this probability:
And we can use the z score given by:
And replacing we got:
And we can use the complement rule and we got:
d. What is the likelihood of selecting a sample with a mean of more than $100,000?
For this case we want this probability:
And we can use the z score given by:
And replacing we got:
And we can use the complement rule and we got:
e. Find the likelihood of selecting a sample with a mean of more than $100,000 but less than $112,000
For this case we want this probability:
And we can use the z score given by:
And replacing we got:
And we can use the complement rule and we got: