Find the cumulative distribution function of the elongations please
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Elongation (in percent) of steel plates treated with aluminium are random with probability density
Find the cumulative distribution function of the elongations please
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- 12 STAT 1811 (Section 20) (page 17 of 35) - Google Chrome arn.squ.edu.om/mod/quiz/attempt.php?attempt3D1894453&cmid%3D889847&page=16 E-LEARNING SYSTEM (ACADEMIC) usiness Statistics 1 (section20) || spring21 Time left 0:25:36 estion Suppose the probability density function for a uniform distribution ranging from 0 to 1. The mean of the random variable X for this distribution is et ered O A. 0.75 ed out of O B. 0.25 ag O C. 0.50 cion O D. 1.00 NEXT PAGE REVIOUS PAGEPlease explain the formula for Expected Value for Hypergeometric Distribution using an exampleshow full and complete procedure
- The hypotenuse, Y, of the isosceles right triangle shown 0 is a random variable having a uniform pdf over the interval [5, 10]. Calculate the expected value of the triangle's area. Do not leave the answer as a function of a. (round to 3 decimal places)A random variable is normally distributed with a mean of μ = 50 and a standard deviation of a = 10. (a) The following figure shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 20 and 80). Areas Under the Curve for any Normal Distribution O O м-30 20 μ-20 30 40 20 40 60 Sketch a normal curve for the probability density function. Label the horizontal axis with values of 20, 30, 40, 50, 60, 70, and 80. 99.7% 95.4% μ-lo н 50 68.3% 60 μ + lo 70 80 A T μ + 20 80 70 50 30 +30 80 X 70 60 50 40 30 20 30 50 70 80 60 40 20 (b) What is the probability the random variable will assume a value between 20 and 80? (Round your answer to three decimal places.) (c) What is the probability the random variable will assume a value between 40 and 60? (Round your answer to three decimal places.)REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that ?1 = 0.6 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 2.20 hours per night. Previous studies show that ?2 = 0.7 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 < ?2; H1: ?1 = ?2 H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 < ?2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume…
- Let Z be a st andard normal variable. Let mean and standard derviation > 0 be two real numbers. Then, the distribution of the random variableIs X=emean+standard derviation*Z called the Lognorma (mean,standard derviation) distribution. Write a function to generate random variables from this Lognormal distribution using a transformation method and generate a random sample of size n = 1000. Compare the histogram with the lognormal density curve given by dlnorm function in R.Question * Given X be the life time of a bulb having a probability density function f(x) =-e for x>0 and 0 elsewhere. The mean life time of the bulbs is equal to: %3D O 1/2 O None of these O 1/4 Question* Let X and Y be two independent continuous random variables with marginal distributionScores on an TOFEL for IT school candidates are normally distributed with μ = 140 and s = 14 What is the probability a candidate will likely score above 160? What percentage of candidates will likely score below 140?
- Plot the gamma distribution by fixing the shape parameter *k* = 3 and setting the scale parameter = 0.5, 1, 2, 3, 4, 5. What is the effect of increasing the scale parameter?Time between accidents in an industrial setting are exponentially distributed with a mean of 100,000 man-hours of operation. Determine the probability that next accident will occur before 80,000 man-hours of operation. Pr(Next accident is before 80000 hrs)=Question 7 b Question submitted. > Next question You can retry this question below Let X be a continuous random variable with a probability density function f. Let the x-value a be such that P(X ≤ a) = 0.5. Let the x-value c be such that f(c) > f(x) for all x. = 100 X- f(x) dx Mean = Median = a Mode = СУ ▼ bv > Submit Question Q Search 0 LEA [ W 8.