In the manufacturer of commercial carpet small faults occur at random in the carpet at an average rate of 1 per 20 m2, Determine the probability that there are no faults in a randomly selected 40 m2 area of the carpet.
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- A candle factory produces candles that are marketed as 15 cm long. There is some variability in the length of the candles manufactured - candle length has a continuous uniform distribution between 145 mm and 154 mm. These candles are sold in packages of 20. What is the probability that a random package will contain more than 5 candles which are over 150 mm in length. (Hint: First compute the probability that any single candle will be over 150 mm in length).*A random point is chosen inside a triangle with height h and base lenght b. what is the expected value of the perpendicular distance of the point to the base?The average annual rainfall in Detroit is 52.1" of rain per year with a standard deviation of 10" per year. Assume a Normal Distribution applies to annual rainfall. a) What percent of the year do you predict that Detroit's rainfall exceeds 75" per year? b) What is the probability tht over the next two years the annual rainfall in Detroit exceeds 75" per year for both years? c) Suppose a person moves to Detroit to go to WSU for the next 4 years. What is the probability that those 4 years average less than 48"?
- The diastolic BP in a certain population has a mean of 70 mm Hg and a standard deviation of 10 mm Hg. Suppose that a random sample of size 64 is taken from this population and the diastolic BP is measured. A) determine the sample mean and sample standard deviation of 64 measured values. B) find the probability that the mean diastolic blood pressure of 64 people in the sample is less than 73 mm Hg25)Find the probability of the indicated result. Use the normal curve approximation to the binomial distribution. On a hospital floor, 60 patients have a disease with a mortality rate of 9.1. Five of them die a) 0.666 b) 0.163 c)0.170 d) 0.155To carry out the lack or lack of fit test, it is necessary to partition the sum of squares due to random error in two: a. One due to the fitted model and one due to the pure error b. One due to lack of fit and one due to the fitted model c. One due to the total variation of the experiment and another due to the estimated model d. One due to lack of fit and one due to pure error Explain clearly each option please
- The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of 10. Suppose that one individual is chosen at random. Find the following (round to 4 decimal places) a) Find the probability that the percent of fat calories a person consumes is more than 40. b) Find the probability that the percent of fat calories a person consumes is less than 35. c) Find the maximum number for the lower quartile of percent of fat calories. d) The middle 70% of the percent of fat calories are from 4 toAssume that the helium porosity (in percentage) of coal sample taken from any particular sean is normally distributed with a true standard deviation of 0.77 how large a sample size is necessary if the width of the 95% internal is to by 0.348 A) 75 B) 76 C) 80 D) 79A textile engineer is interested in measuring heat resistance for four different types of threads used in making fire-resistant clothing for firefighters. A random sample of 20 threads from each type was taken and subjected to hear test to determine resistance (the length of time the fibers survive before starting to burn). Explain what type of study this is and why.
- Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?i need the answer quickly1) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard deviation of 0.02. Determine the probability that the diameter is a) more than 3.42 cm. b) less than 3.46 cm. c) between 3.35 cm and 3.46 cm