Suppose X has a continuous uniform distribution over the interval [1.5, 5.5]. Determine the mean What is P(X<2.5)? Determine the variance and standard deviation of X. Determine the cumulative distribution function.
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Answer please ty!
Determine the mean
Determine the variance and standard deviation of X.
What is P(X < 2.5)?
Determine the cumulative distribution
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- IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that an individual has an IQ higher than 94. Find the probability that an individual has an IQ between 85 and 112. Find the IQ score that separates the highest scoring 28.1% from the rest of the population.Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number of red marbles that Suzan has in her hand after she selects four marbles from a bag containing four red marbles and two green ones. expected value variance standard deviation Need Help? Read ItIntegrate x2 between -1 and 3 between using both the stone throwing approach and the mean value approach. For m=1 & N=1000, what do you observe if you plot N vs calculated value of the function for both methods? For N=102, 103,104, 105, 106 and m=16 plot the N vs absolute error for both methods. What relationship fits this distribution of points? Comment on what you observe Now plot N against the Standard Deviation (the Variance) for both methods and comment on what you observe.
- Use the mean and standard deviation formula for a Uniform Distribution for our population distribution. Take the mean and standard deviation from your population distribution to find the mean and standard error of your sampling distribution. Don’t forget to label your axes and do not forget to write out your calculator command. Don’t forget the units on your percentile. Every statistic has the same units as your variable. All this information that is above goes with the image attached Please please answer everything please at least try to answer everything please I would really appreciate it thank youFind the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table. Click to view page 2 of the table. Standard normal distribution table (page 1) 7=065 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 The area of the shaded region is. Standard normal distribution table (page 2) -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 .0003 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 -3.3 (Round to four decimal places as needed.) .0007 .0010 - 3.2 - 3.1 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 .0013 -3.0 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 - 2.9 - 2.8 - 2.7 .0014 .0014 .0015 .0015 .0016 .0016 .0017 .0018 .0018 .0019 0.0 5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 5319 5359 0.0 .0026 .0035 -2.8 .0019 .0020 .0021 .0021 .0022 .0023…When we describe our data, we list three basic properties of the frequency distribution. One of them is the shape of the distribution. The other two are: the independent and dependent variables a measure of central tendency and a measure of variability the variance and the standard deviation whether it is normal or skewed
- Find the variance and standard deviation. Round the variance to two decimal places and standard deviation to at least three decimal places.A class is given an exam. The distribution of the scores is normal. The mean score is 78 and the standard deviation is 11. Determine the test score, c such that the probability of a student having a score greater than c is 46%. P(x>c)=0.46Determine whether the graph shown could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. Select the correct choice below and, if necessary, fill in the blanks to complete your choice. a) The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately _______ and its standard deviation is approximately _______. (Round to one decimal place as needed.) b) The graph could not represent a variable with a normal distribution because the curve has two modes. c) The graph could not represent a variable with a normal distribution because the graph is skewed to the right. d) The graph could not represent a variable with a normal distribution because the curve crosses the x-axis. e) The graph could not represent a variable with a normal distribution because the curve…