Concept explainers
To graph Problems 59-62, use a graphing calculator and refer to the normal
Graph equation (1) with
(A)
(B)
(C)
Graph all three in the same viewing window with
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Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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Finite Mathematics & Its Applications (12th Edition)
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Calculus Volume 2
Fundamentals of Differential Equations and Boundary Value Problems
Thinking Mathematically (7th Edition)
- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardQuestion 4. The distribution of yield strength of steel bars in batch A is normal with mean 40,000 psi and the coefficient of variation 10% while the yield strength of steel bars in batch B has a lognormal distribution with the same mean and the same of coefficient of variations as those of batch A. If it is specified that the bars with the yield strength less than 30,000 psi are considered defective and cannot be used for construction, which has higher probability to be defective, a bar from batch A or B?arrow_forwardq-13arrow_forward
- The following data are annual 15-min peak rainfall intensities I (in./hr) for 9 years of record. Compute and plot the log,,-normal frequency curve and the data. Use the Weibull plotting position formula. Using both the curve and the mathematical equation estimate (a) the 25-yr, 15-min peak rainfall intensity; (b) the return period for an intensity of 7 in./hr; (c) the probability that the annual maximum 15-min rainfall intensity will be between 4 and 6 in./hr.arrow_forwardTable 5–15 cross-classifies pregnant women in a study by their body mass index (BMI) at 16 weeks gestation and whether they had a pre-term delivery. Body Mass Index and Preterm Delivery BMI < 30 BMI 30–34.9 BMI 35+ Pre-term 320 80 120 Full term 4700 480 300 14. In the study described in Problem 13, suppose the mean BMI at 16 weeks gestation is 28.5 with a standard deviation of 3.6, and that BMI is assumed to follow a normal distribution. Find the following: A. The proportion of women with a BMI greater than 30. B. The proportion of women with a BMI greater than 40. C. The BMI that separates the top 10% from the rest.arrow_forwardSuppose that the return for a particular investment is normally distributed with a population mean of 10.1% and a population standard deviation of 5.4%. A person must score in the upper 5% of the population on an IQ test to qualify for a particular occupation If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for this occupation?arrow_forward
- Problem 11. (5 points) Use normal approximation to estimate the probability of getting at most 55 girls in 100 births. Assume that boys and girls are equally likely.arrow_forwardQ.1 The magnitude of earthquakes recorded in a region of North America can be modeled as having an exponential distribution with mean 2.6. Find the probability that an earthquake striking this region will (a) exceed 3.0; (b) fall between 2.0 and 3.0.arrow_forwardSuppose 4, and u, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 7, x = 113.8, s, = 5.09, n = 7, y = 129.5, and s, = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) In USE SALT Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so wide, it appears that precise information is not available. Because the interval is so narrow, it appears that precise information is available. O Because the interval is so wide, it appears that precise information is available. Because the interval is so narrow, it appears that precise information is not available.arrow_forward
- Problem 7 A mall is promoting an event of sales. Every $10 a customer spends can get a fortune ticket. Each ticket has a chance of 0.08 to win a gift. How much should a customer spend, so that the probability of getting at least one gift is 0.95. Perform our calculation use normal approximation with continuous correction.arrow_forwardThe following data were collected in the study described in Problem 1 relating hypertensive status measured at baseline to incident stroke over 5 years. Free of Stroke at 5 Years Stroke Baseline: Not Hypertensive 932 58 Baseline: Hypertensive 254 106 Compute the incidence of stroke in this study, overall. 0.294 0.121 0.059 0.879arrow_forward1. Flood discharges (m³/s) observed in a stream for 30 years are given below arranged in decreasing order. 2130 1950 906 839 572 563 1950 1620 1420 1230 827 816 786 559 479 471 C. d. e. f. g. 1200 1180 1120 1040 577 571 608 586 628 439 382 379 360 264 a. Plot the histogram and frequency histogram dividing the data into six equal intervals. b. Investigate the effect of the number of class intervals using wider and narrower intervals. Plot the cumulative distribution. Estimate the parameters for the central value of the flood discharge. Estimate the parameters representing the dispersion of the data. Compute the skewness coefficient. Can the data be considered to be symmetrical? The construction of a hydraulic structure on this stream will be stopped if a flood larger than 950 m³/s occurs. What is the frequency of this event in a year?arrow_forward