An article suggests that substrate concentration (mg/cm³) of influent to a reactor is normally distributed with μ = 0.50 and σ = 0.09. (Round your answers to four decimal places.) I USE SALT (a) What is the probability that the concentration exceeds 0.70? (b) What is the probability that the concentration is at most 0.40? (c) How would you characterize the largest 5% of all concentration values? The largest 5% of all concentration values are above mg/cm³. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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- The diameter of rings produced by a machine follows Exponential distribution with λ = 5. Find the probability that the average diameter of 35 rings is greater than 0.4.Diastolic blood pressure in adults is normally distributed with m = 80 mm Hg and s = 12 mm Hg. In a ran-dom sample of 300 adults, how many would be expected to have a diastolic blood pressure below 70 mm Hg?7:42 O O A • @ X ? l 63%i 6.10 Toolworkers are subject to work- related injuries. One disorder, caused by strains to the hands and wrists, is called carpal tunnel syndrome. It strikes as many as 23,000 workers per year. The U.S. Labor Department estimates that the average cost of this disorder to employers and insurers is approximately $30,000 per injured worker. Suppose these costs are normally distributed, with a standard deviation of $9,000. a. What proportion of the costs are between $15,000 and $45,000? b. What proportion of the costs are greater than $50,000? c. What proportion of the costs are between $5,000 and $20,000? d. Suppose the standard deviation is unknown, but 90.82% of the costs are more than $7,000.What would be the value of the standard deviation? e. Suppose the mean value is unknown, but the standard deviation is still $9,000. How much would the average cost be if 79.95% of the costs were less than $33,000?
- (a) A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher wonders if hummingbirds (of this same type) living in the Grand Canyon differ in weight from the population as a whole. The researcher finds a sample of 30 such hummingbirds from the Grand Canyon and calculates their average weight to be 3.75 grams. Ο Α. H : μ = 4.55, Ο B. H : μ 3.75 D. Ho = 4.55, H₁ 4.55 OE. Ho = 4.55, H 115 OB. Ho = 118.2, Ha 118.2 Ο C. H : μ = 118.2, H@ :μ 115 OE. Ho = 115, H₁115 F. Ho = 115, H₂ 69 Ο C. H : μ = 71, H@ :μ 69, Ha : μ 696. The magnitude (Richter scale) of earthquake along a Taiwanese fault is exponentially distributed, with A= (1/2.5). What is the probability of an earthquake exceeding magnitude 6.4? There is 1 earthquake per year (on average) along the fault with magnitude greater than 5.5. Given this, what is the probability of an earthquake during the year that exceeds magnitude 7.2?The compressive strength of concrete is normally distributed with µ = 2200 psi and o² = 50 psi. Find the probability that a random sample of n= 10 specimens will have a sample mean diameter that falls in the interval from 2198 psi to 2203 psi. If we increase our sample size, would this increase the probability that our sample mean will be between the interval? Explain and include your solutions. a. Probability is about 72%. Increasing the sample size will increase this probability b. Probability is about 12%. Increasing the sample size will increase this probability C. Probability is about 72%. Increasing the sample size will decrease the probability d. NONE
- if p (t>t1)=0.05 in a sample of n = 20 units, which of the following is t1? Please select one: a. 1.725 b. 1.729 c. 2.086 d. None of them e. 2.093A random sample from a normal population has:n = 8, X-bar = 16, and s = 3. Find the 95% PI for asingle new value from the population.Suppose that the life distribution of an item has the hazard rate function 1(t) = t³,t > 0. What is the probability that a. the item survives to age 2? b. the item's lifetime is between 0.4 and 1.4? C. a 1-year-old item will survive to age 2?
- A parts feeder has a low-level sensor at the 10th part and high-level sensor at the 50th part. The cycle time (Tc) is 6 seconds, the part selector probability (O) is 0.1, and the feed rate (f) is 56 parts/minute. Determine the depletion time (Tde) to the nearest 0.1 minute.A proposed project has the following cash flow estimates: End of Year Mean Net Cash Flow Standard Deviation of Cash Flow 0 1 2 3 4 5 -$32,000 $4.000 $8.000 $12.000 $12.000 $12.000 $1.000 $2.000 $3.000 $5.000 $6.000 $7,000 Assuming independent cash flows. a normally distributed net present value, and a minimum attractive rate of return of 18%. determine an analytical solution for the following:If y = Va, findfn(2) a. y" -0.027 %3D O b. y" = -0.072 %3D c. y" = 0.027 O d. y" = -0.072