Can you pls help me with these questions? I'm giving brainliest ^^
2 answers:
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Answer:
a)
b)
c)
Sicne this probability just represent 1% of the data we can consider this value as unusual.
d)
And if we solve for a we got
So the value of height that separates the bottom 90% of data from the top 10% is 87360.
Step-by-step explanation:
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".
Part a
Let X the random variable that represent the life of a particular auto transmission of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard table and we got:
Part b
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and excel or the normal standard table and we got:
Part c
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and excel or the normal standard table and we got:
Sicne this probability just represent 1% of the data we can consider this value as unusual.
Part d
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 90% of data from the top 10% is 87360.
<h2>Greetings</h2>
<h2>Hope this helps!</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:
m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>5m = 160
Divide both sides by 5:
m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3><h2>Hope this helps!</h2>
Answer:
<em>Worker B needs 9 days to finish the rest of the work</em>
Step-by-step explanation:
<u>Proportions</u>
Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.
Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do
After 3 days they have completed:
parts of the project, this means it still remains:
parts of the project and it is done by B alone. Since B does per day, he now takes
days to complete the project.
Worker B needs 9 days to finish the rest of the work
Answer:
62.29%
Step-by-step explanation:
The probability of Aya being offered a coupon on at least one of the six days she visits the website is 100% minus the probability that she is not offered a coupon on any of the six days, which is described by a binomial probability with zero successes in six trials with a probability of succes p = 0.15.
The probability that Aya will be offered a coupon on at least one of the days she visits the website is 62.29%.