tribution from 1 to 5. Determine the conditional probability P (X > 2.5|X ≤4)
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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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- 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?If p|| g, m/1= 56+23, and m/11=2b+10, find m/2, m/4, m/10, and m/12 1/2 3/4 9/10 q11/12 56 78 m/2 = m24 = m/10 = m/12 = Pause https://ola3.performancematters.com/ola/olajsp?dientCodesfiduval P Type here to search EL FO %23 & 3 6 Q E R Y Tab CapsLk D F K Shift V B M Ctrl Fn AltAccording to data released in 2016, 69% of students in the United States enroll in college directly after high school graduation. Suppose a sample of 150 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are met, find the probability that at most 66% enrolled in college directly after high school graduation. First, verify that the conditions of the Central Limit Theorem are met. The Random and Independent condition holds assuming independence. The Large Samples condition holds. The Big Populations condition can reasonably be assumed to hold. The probability is. (Type an integer or decimal rounded to three decimal places as needed.)
- 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.When do creative people get their good ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information. Assuming that the time interval includes the left limit and all the times up to but not including the right limit, the probability that an inventor has a good idea during each time interval is the following: P(6 A.M.-noon) = 290/966, P(noon-6 P.M.) = 135/966, P(6 P.M.-midnight) = 319/966, P(midnight-6 A.M) = 222/966. State whether the following statement is true or false.All the outcomes are not equally likely.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 283Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.The duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true (check all that apply)? a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x<30) < 0NoneUse 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