The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to t
he nearest tenth of square foot. Pls use pi with formula of area and also use a expression
1 answer:
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Answer:
P(at least 1 dull blade)=0.7068
Step-by-step explanation:
I hope this helps.
This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.
So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.
P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1
P(at least 1 dull blade)=1-P(no dull blades)
But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.
So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.
Also since are consecutive events, you need to multiply the events.
The probability that the assembly is replaced the first day is:
P(at least 1 dull blade)=1-P(no dull blades)
P(at least 1 dull blade)=0.7068
Answer:
n=601
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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 population proportion have the following distribution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=601