The table below represents the probability density function for the random variable X. Find the standard deviation of X. P(X = x) 1/6 1/3 9. 1/2 Select the correct answer below: O 2.24 О 4.5 6.38 O 1.38
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- Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in July in a town in Colorado. The x distribution has a mean μ of approximately 75°F and standard deviation σ of approximately 8°F. A 20-year study (620 July days) gave the entries in the rightmost column of the following table. I II III IV Region under Normal Curve x°F Expected % from Normal Curve Observed Number of Days in 20 Years μ – 3σ ≤ x < μ – 2σ 51 ≤ x < 59 2.35% 15 μ – 2σ ≤ x < μ – σ 59 ≤ x < 67 13.5% 82 μ – σ ≤ x < μ 67 ≤ x < 75 34% 209 μ ≤ x < μ + σ 75 ≤ x < 83 34% 224 μ + σ ≤ x < μ + 2σ 83 ≤ x < 91 13.5% 75 μ + 2σ ≤ x < μ + 3σ 91 ≤ x < 99 2.35% 15 (a) Remember that μ = 75 and σ = 8. Examine the figure above. Write a brief explanation for columns I, II, and III in the…Let z be a random variable with a standard normal distribution. Find P(–1.12 ≤ z ≤ 2.58). Use 4 decimal places.The probability density of a random variable X is given in the figure below. From this density, the probability that X is at least 1.9 is: . Give your answer to at least 4 decimal places.
- Assume the random variable x is normally distributed with mean μ = 84 and standard deviation o=5. Find the indicated probability. P(x <76) P(x<76) = (Round to four decimal places as needed.) C...Assume that the random variable X is normally distributed, with mean μ = 110 and standard deviation o=5. Compute the probability P(X> 114). 0000 0.7881 0.2119 0.2420 0.1977Assume the random variable x is normally distributed with mean u = 82 and standard deviation o = 5. Find the indicated probability. P(65Samples of size 64 will be drawn from a Normal population with (H, o2) = (50, 100). What is the probability P (Hz - 1.50zAssume the random variable x is normally distributed with mean u = 88 and standard deviation o = 4. Find the indicated probability. P(77Assume that the random variable X is normally distributed, with mean μ = 80 and standard deviation o=16. Compute the probability P(X< 100). 0.8849 0.8944 0.9015 0.1056 ....Let X be an exponential random variable with parameter λ=1/4 and from this population a random sample of size n=36 is taken, determine the probability that the sample mean takes some value between 3.60 and 4.12use the normal distribution table (Z table) for the answerThe table below represents the probability density function for the random variable X. Find the standard deviation of X Round the final answer to two decimal places. 1/5 2/5 2/5 4 8 O Help copy to ClipboardDownload cSVAssume that the random variable X is normally distributed, with mean μ=50 and standard deviation σ=12. Compute the probability P(X<65). 0.9015 0.8849 0.1056 0.8944SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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