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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- 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"?Suppose a large machine randomly prints words/minute for Book production. It is known that the printing machine follows a normal distribution with a mean of 132 words/minutes ounces and a standard deviation of 4 words/minute. Find the probability that the printing machine prints less than129 words/minute. a)0.3085 b)0.2266 c)0.4103 d)0.287425)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) 0.155
- The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a.) less than 8 months b.) between 8 and 12 months.Your extrusion process yields 0.7 defects per 100 m length of aluminum extrusion. In a 400 m length, what is the probability of observing 2 or more defects? 0.2384 O 0.4695 O 0.7689 O 0.5305 0.2311A factory produces screws, for which the length is normally distributed with the mean of 4mm and standard deviation of 0.3mm. Screws are measured accurately and any which are shorter than 3.6mm or longer than 4.2mm are rejected. a) Calculate the probability of products accepted b) Out of a batch of 1000 screws, how many would be rejected?
- What is the probability that a call signal comes from within 3 km of a tower has circular coverage area of radius 5 km?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?1) 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