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
Q: The probability distribution of the discrete random variable X is given below. 3 3-x f(x) = QO'@'* ,…
A: Given f(x)=(3x)(14)x(34)3-x , x=0,1,2,3
Q: Assume that the random variable X is normally distributed, with mean u=80 and standard deviation…
A:
Q: The following figure is a probability density curve that represents the grade point averages (GPA)…
A: Answer:- Given, The probability density curve is, Using formula , Total Probability = 1
Q: Assume that ? is a random variable has a gamma distribution with (alpha) = 3 and (beta) = 10. A)…
A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32
Q: In the US, systolic blood pressure is a random variable that is normally distributed with a mean of…
A:
Q: et ? be the random variable with the time to hear an owl from your room’s open window (in hours).…
A: Given:
Q: Suppose Z has the standard normal distribution. Find the cumulative distri- bution function, density…
A: Given information: Z has the standard normal distribution.
Q: The time taken by brake discs to overheat on construction equipment is normally distributed with…
A:
Q: Assume the random variable x is normally distributed with mean μ=82 and standard deviation σ=5. Find…
A:
Q: he probability that you will win a game is π=0.11π=0.11. If you play the game 965 times, what is…
A: probability that you will win a game is , p = π = 0.11 Let X represent the number of games (out of…
Q: According to a study, the time between taking a pain reliever and getting relief is normally…
A:
Q: Assume the random variable x is normally distributed with mean μ=80 and standard deviation σ=5.…
A: Answer- Assume the random variable x is normally distributed with meanμ=80and standard…
Q: A sample of 50 data points is collected, and a histogram plotted: 0.25 0.20 0.15 0.10 0.05 0.00 0 2…
A: mean is 8, standard deviation is 4
Q: Assume the random variable x is normally distributed with meanu=81 and standard deviation o = 4.…
A:
Q: Assume that the amounts of weight that male college students gain during their freshman year are…
A: The standard score measure the deviation of each observation from the mean. It is calculated by the…
Q: Assume that the amounts of weight that male college students gain during their freshman year are…
A:
Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation o=4.…
A: Given that the data is normally distributed with mean 85 and standard deviation 4.Mean () =…
Q: Assume the random variable x is normally distributed with mean = 50 and standard deviation o=7. Find…
A: Given:
Q: Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation o…
A: Given: Population Mean,μ = 50 Population Standard Deviation,σ = 7
Q: Assume the random variable x is normally distributed with mean u = 90 and standard deviation o = 4.…
A: Given that Let X denotes random variable having distribution Normal with mean =90 and standard…
Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=4. Find…
A: We have find givan probability...
Q: Assume that the random variable x is normally distributed with mean u = 70 and standard deviation o…
A:
Q: Assume the random variable x is normally distributed with mean u = 85 and standard deviation o = 5.…
A: Given: μ=85σ=5 The z-score is given by, z=X-μσ
Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…
A: Ley Z be the random variable from standard normal distribution with mean = 0°C and standard…
Q: 1. Assume that Z is a standard normal random variable (i.e., it is a normal random variable with…
A: It is an important part of statistics. It is widely used.
Q: The table below represents the probability density function for the random variable X. Find the…
A: Solution: From the given information, the probability density function for the random variable X is
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- 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(65Assume 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 ....The 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 0.8944Let 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% 16 μ – 2σ ≤ x < μ – σ 59 ≤ x < 67 13.5% 76 μ – σ ≤ x < μ 67 ≤ x < 75 34% 209 μ ≤ x < μ + σ 75 ≤ x < 83 34% 220 μ + σ ≤ x < μ + 2σ 83 ≤ x < 91 13.5% 87 μ + 2σ ≤ x < μ + 3σ 91 ≤ x < 99 2.35% 12 1. Remember that μ = 75 and σ = 8. Examine the figure above. Write a brief explanation for columns I, II, and III in the…The table below gives a discrete probability distribution x Pr(X=x) 1 0.1883 4 0.1618 7 0.1392 10 0.1199 13 0.1032 16 0.089 19 0.0763 22 0.0657 25 0 Summary metrics: Calculate the theoretically exact mean, variance (sigma^2) , and standard deviation , for the distribution. Enter your answer as a comma separated list to four decimal places, e.g. 0.1234, 0.2324, 0.4567, etc.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman