If X has a uniform distribution on the interval from 0 to 10, then what is P[X+> = 7]?
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Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
A: Let us denote X=The lengths of a professor's classes Given that X follows a continuous uniform…
Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
A: Let X be the lengths of a professor's classes has a continuous uniform distribution between 50.0 min…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
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Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0…
A: Given: X=length of a Professor's class follows U(a, b)Here, a=50.0 min and b=52.0 minThen,
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- Let X,...,X6 be a random sample of size 6 from Normal(0, o2). a. What is the constant "a" so that a (X1-X3) Y = 2x+ $x+x+ x is t-distribution? b. Compute P(Y < 0.95).Q2. The sampling distribution of means tends toward Normality only when the underlying populations is Normal. This is true of Central Limit Theorem. TrueB. FalseC. None of the aboveX~ N(70, 11). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let EX be the random variable of sums. O Part (a) Sketch the distributions of X and X on the same graph. 55 60 65 70 75 80 85 O 55 60 65 70 75 80 85 O 55 60 65 70 75 80 85 55 60 65 70 75 80 85 O Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) X -n (O-0) O Part (c) Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) PX< 70) = O Part (d) Find the 40th percentile. (Round your answer to two decimal places.) O Part (e) Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(66 < X< 72) = | O Part () Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four…
- A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 96 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At a = 0.01, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Not a high school graduate High school graduate College (1 year or more) Frequency, fe 37 39 20 (a) State Ho and H, and identify the claim. Ho: The distribution of educational attainment responses is Ha: The distribution of educational attainment responses is Which hypothesis is the claim? Ho Ha (b) Determine the critical value, Xo, and the rejection region. 2 Хо (Round to three decimal places as needed.) %3D Choose the correct rejection region below. 2 2 O B. Xsx. O D. X²2X% 2 Ο Α. Χx% O C. X >XoSuppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.3 and 51.9 min.P(50.3 < X < 51.9) =
- The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is less than 51 min.P(X < 51) =Suppose 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 lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.2 and 51.4 min.P(51.2 < X < 51.4) =
- The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.7 min.P(50.4 < X < 51.7) =A sample of 34 observations is taken from a population that has 150 elements. The sampling distribution of x̄ is: approximately normal if the population is not highly skewed. approximately normal because of the central limit theorem. approximately normal only if the population is normally distributed. approximately normal because x̄ is always approximately normally distributed.5 Which of the below about t-distribution is TRUE? Each curve is more spread out than the standard normal curve. Each t curve is bell shaped and centered at 0. As the degree of freedom decreases, the sequence of t curves approaches the standard normal. All the statements are correct about t-distribution.