SITUATION 6(a) The elongation of a steel bar under a particular load has been established to be normally distributed with mean of 0.05 inch andstandard deviation of 0.01 inch.(a.1) Find the probability that the elongation of a steel bar is below 0.15 inch.(a.2) Find the probability that the elongation of a steel bar is between 0.025 and 0.050 inch.

Answered: Image /qna-images/answer/fe639143-b21a-471f-a7c6-93d17244afa9.jpg

Answered: SITUATION 6 (a) The elongation of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch.) (a) At what psi ill the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is (Click to select) v psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended correct inflation range is 27 psi to 31 psi. Assume the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
please answer the question in the attached picture with work shown, thanks! #2
AU-shaped component is to be formed from the three parts A, B, and C. See figure below. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thickness of parts B and C is normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that all dimensions are independent. |B|- -D В C A A Determine the standard deviation of the length of the gap D. What is the probability that the gap D is less than 5.9 mm?
Steel rods are manufactured with a mean length of 26centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.05 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 25.9cm?
A recent study found that the average length of caterpillars was 2.8 centimeters with a standard deviation of 0.7 centimeters. Assuming that the lengths of all caterpillars is normally distributed, what is the probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters? P(x > 4.0 cm) = ___________ Type in your final decimal solution for the probability rounded to four decimal places.
Exercise 2: Finding the Area Under the Curve In Major League Baseball, the average fastball pitch is 90 miles per hour, μ = 90, with a standard deviation of 3 miles per hour, σ = 3. A pitcher’s fastball is 96 miles per hour. Is he among the fastest 1 percent of pitchers? A pitcher’s fastball is 95 miles per hour. Is he among the fastest 2.5 percent of pitchers? A pitcher’s fastball is 85 miles per hour. Is he among the slowest 2.5 percent of pitchers? A pitcher’s fastball is 80 miles per hour. Is he among the slowest 1 percent of pitchers? Use Assignment05_Data.xlsx to solve these problems. Or, you may use the Area Under the Curve Table and a handheld calculator. The key part of your solution is used the correct z-value. Remember: z-values can be positive or negative. The Area Under the Curve Table only shows positive z-values. Because the normal curve is symmetrical, the probability of negative z-values are the same has their corresponding…
A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. a. Find the mean, μ = b. Find the standard deviation, σ = Round to the nearest tenth.
A car battery's lifetime has an unknown distribution that is symmetric around its average of 800 days. The standard deviation of the lifetime is 50 days. Use Chebyshev's theorem to find an upper bound for the percentage of batteries that last shorter than 550 days? A. 5.56% B. 2.00% O C. 1.39% O D. 3.13%
Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 5.6 and standard deviation ? = 0.4. (d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)
A class is given an exam. The distribution of the scores is normal. The mean score is 78 and the standard deviation is 11. Determine the test score, c such that the probability of a student having a score greater than c is 46%. P(x>c)=0.46
Based on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions. On the average, which group of students perform better academically in the previous term? Which group varies more? 1st image are the male students and the 2nd image are the female students.
Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. Question content area bottom Part 1 a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute. The probability is 0.42450.4245. (Round to four decimal places as needed.) Part 2 b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute. The probability is enter your response here. (Round to four decimal places as needed.)

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