Suppose X follows a continuous uniform dis- tribution from 1 to 5. Determine the conditional probability P (X > 2.5|X ≤4)
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A: According to the provided information, X ~ N(8, 1.5)
Suppose X follows a continuous uniform dis-
tribution from 1 to 5. Determine the conditional probability
P (X > 2.5|X ≤4)
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- A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.5%. What is the probability that in a random sample of 440 headache sufferers, no more than 256 obtain relief? Remember to use the continuity correction and calculate z-scores to at least 3 decimal places. Give probabilities to 4 decimal placesGive that A ∼ Poisson(3) Find P(A > 2)Background: A dog named Zip is often tied to a zipline. Fig 1A: Top view of yard. When tied, Zip travels in such a way that the hook on the line slides back and forth as he moves. A coordinate system is defined as described in the picture to the right. Figure 1A shows a top view and Figure 1B shows a Fig 1B: Sideview of zipline. sideview. A measurement system is connected to the hook. It periodically records the position on the line during the time Zip is connected to it. After 50,000 x=0 location of hook observations (electronically recorded) a continuous model for where the hook is located was developed by - 10m < x < 10m a team of engineers. They came up with the model that p(x) = {A + 10) otherwise 1) Sketch a graph for p(x). Do you need to fill in this form? You can use Fill & Sign to complete form yourself or get others to sign. 2) What is the average position of the hook on the zipline?
- An old-fashioned string of Christmas tree lights has 10 bulbs connected in series. The 10 identical bulbs are assumed to have independent times-to-failure with constant failure rate λ. Determine λ per week such that the probability that the string survives 3 weeks is at least 99%. remember be careful it is assumed to have independent times-to-failure with constant failure rate lambda. Also we want to know each week not for 3 weeks.A fair 6-sided die is repeatedly rolled until the total sum of all the rolls exceeds 300. Approximate (using the Central Limit Theorem) the probability that at least 80 rolls are necessary to reach a sum that exceeds 300.Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded egion of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers H= 269 o = 10 283Use normal approximation with the continuity correction to estimate the probability of passing a true/false test of 68 questions if the minimum passing grade is 65% and all responses are random guesses.Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is as needed.) Pregnancy Length in a Population of New Mothers 280Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON