QUESTION 10 Find P(11 < X < 15) if X is normally distributed with a mean of 14 and standard deviation of 2.
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- Suppose the mean value for Rh is 1,106, the mean value for X,R, is 2,200, the standard deviation for Rh is 427.1 and the standard deviation for X,R, is 325.3. What then is the value for the standard deviation of the limit state function V (answer to 1 decimal place)?Can you help with part b without using Chebyshev's theoremIf X is normally distributed with mean 70 and standard deviation 16. Find, (1) P(38Quick!The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of 17 days. What percentage of pregnancies last fewer than 314 days? P(x < 314 days) = P(z<IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 99, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 99. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value -1 -1.5 0 +). Click and drag the arrows to adjust the values. 1 2 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. Edit Insert Formats B I U x₂ x² A => EM e & N 18 (f) The middle 50% of IQs fall between what two values? (g) Sketch the graph and write the probability statement. Edit Insert Formats BIUX₂ X² A E = = E EC P R N • Σ+ Σ Α Σ+ Σ ΑSuppose that between their first and second years in college, 400 students are randomly selected and given a university grant to purchase a new computer. For student i, y; denotes the change in GPA from the first year to the second year. If the average change is ỹ = .132 with standard deviation s = 1.27, is the average change in GPAS statistically greater than zero?A certain variable has a bell-shaped distribution with mean μ=176.16μ=176.16 and standard deviation σ=4.9σ=4.9. You observe a value of x=184x=184. Is this a TYPICAL value of the variable (within 2 standard deviations of the mean), or an UNUSUAL one (more than 2 standard deviations from the mean)?The coefficients of variations of wages of male workers and female workers are 55% and 70% respectively, while the standard deviations are 22.0 and 15.4 respectively calculate the overall wages of all workers given that 80% of the workers are male?Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68%of data) range from 13 to 17 years. Let x = age at which a refrigerator is replaced. Assumethat x has a distribution that is approximately normal. Find a good approximation for thestandard deviation of x values.nN(dp) is define as the “number distribution function” , where dp is the particle diameter. Assume nN(dp) is a normal distribution with a mean of 10 µm and a standard deviation of 2 µm. The total number concentration of particles of all sizes is 10,000 particles cm-3. What is the number concentration of particles in the size range 10 µm and 14 µm?Suppose x has a distribution with a mean of 80 and a standard deviation of 45. Random samples of size n = 36 are drawn. Find P(x < 87.5) Please show the steps to finding the answer and use a ti-83+ calculator since this is what I am working with.
