An insurance company receives 2090 claims in a year. Each claim is normally distributed with mean...
An insurance company receives 2090 claims in a year. Each claim is normally distributed with mean 5000 and a standard deviation of 500. Find the 95th percentile for the total of the 2090
claims.
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An insurance company receives 2090 claims in a year. Each claim
is normally distributed with mean...
If one or more claims are filed within the next year with Insurance Company ABC, the sum of the claim amounts follo...
If one or more claims are filed within the next year with Insurance Company ABC, the sum of the claim amounts follow a normal distribution with a mean of 500 and 4,57 variance of 1200. The probability that a claim will not be filed within the next year 5 with Insurance Company ABC is 0.10. If one or more claims are filed within the next year with Insurance Company XYZ, the sum of the claim amounts follow a normal distribution...
Problem 4 The strength of an aluminum alloy is normally distributed with mean 10 GPa and standard deviation 14 GPa. What is the probability that a specimen of this alloy will have a strength greater...
Problem 4 The strength of an aluminum alloy is normally distributed with mean 10 GPa and standard deviation 14 GPa. What is the probability that a specimen of this alloy will have a strength greater than 12 GPa? What is the 95th percentile of the strength of this alloy? a) b)
Problem 4 The strength of an aluminum alloy is normally distributed with mean 10 GPa and standard deviation 14 GPa. What is the probability that a specimen of this...
Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.026...
Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.026 and a standard deviation of 0.504. Complete parts a through c below. a. Earthquakes with magnitudes less than 2.000 are considered "microearthquakes that are not folt. what percentage of earthquakes fall into this category? (Round to two decimal places as needed.) b. Earthquakes above 4.0 will cause indoor items to shake. What percentage of earthquakes fall into this category? (Round to two decimal places...
Problem 4. Let X be normally distributed with mean 1 and variance 2.2. (a) Find P0.5...
Problem 4. Let X be normally distributed with mean 1 and variance 2.2. (a) Find P0.5 < X < 2). (b) Find 95th percentile of X.
An automobile insurer has found that repair claims are Normally distributed with a mean of $890...
An automobile insurer has found that repair claims are Normally distributed with a mean of $890 and a standard deviation of $850. (a) Find the probability that a single claim, chosen at random, will be less than $840. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $840. ANSWER: (c) If a sample larger...
An automobile insurer has found that repair claims are Normally distributed with a mean of $580...
An automobile insurer has found that repair claims are Normally distributed with a mean of $580 and a standard deviation of $530. (a) Find the probability that a single claim, chosen at random, will be less than $560. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $560. ANSWER: (c) If a sample larger...
The claim is that the IQ of statistic professors are normally distributed with a mean less...
The claim is that the IQ of statistic professors are normally distributed with a mean less than 127. A sample of 18 professors had a mean IQ score of 123 with a standard deviation of 15. Find the value of the test statistic.
AC. Suppose the weight of a 1-year-old perch is normally distributed with mean 8.4 ounces and...
AC. Suppose the weight of a 1-year-old perch is normally distributed with mean 8.4 ounces and standard deviation 2 ounces (i) What proportion of 1-year-old perch weigh less than 9 ounces? (ii) Find the 43rd percentile of the weights of 1-year-old perch. AD. Cerebral blood flow (CBF) in the brains of healthy people is normally distributed with mean 74 and standard deviation 16. What proportion of healthy people will have a CBF reading above 110? (ii) Find the 27th percentile...
Heights of 13 year old males in the USA are normally distributed with a mean of...
Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation of 2 inches. Find the probability that a randomly selected 13 year old male in the USA has a height more than 58 inches. (Write your answer as a decimal number, rounded to the nearest hundredth) Heights of 13 year old males in the USA are normally distributed with a mean of 60 inches and a standard deviation...
A local retailer claims that the mean lifetime of its lithium batteries is normally distributed with...
A local retailer claims that the mean lifetime of its lithium batteries is normally distributed with a mean of 1400 hours. A homeowner randomly selects 29 of these batteries and finds the mean lifetime to be 1380 hours with a standard deviation of 50 hours. Test the manufacturer’s claim. At an ? = .1, test the retailer’s claim. a.) State the null and alternative hypotheses. b.) Verify that the requirements are met for conducting the hypothesis test. c.) Conduct the...
If one or more claims are filed within the next year with Insurance Company ABC, the sum of the claim amounts follow a normal distribution with a mean of 500 and 4,57 variance of 1200. The probability that a claim will not be filed within the next year 5 with Insurance Company ABC is 0.10. If one or more claims are filed within the next year with Insurance Company XYZ, the sum of the claim amounts follow a normal distribution...
Problem 4 The strength of an aluminum alloy is normally distributed with mean 10 GPa and standard deviation 14 GPa. What is the probability that a specimen of this alloy will have a strength greater than 12 GPa? What is the 95th percentile of the strength of this alloy? a) b)
Problem 4 The strength of an aluminum alloy is normally distributed with mean 10 GPa and standard deviation 14 GPa. What is the probability that a specimen of this...
Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.026 and a standard deviation of 0.504. Complete parts a through c below. a. Earthquakes with magnitudes less than 2.000 are considered "microearthquakes that are not folt. what percentage of earthquakes fall into this category? (Round to two decimal places as needed.) b. Earthquakes above 4.0 will cause indoor items to shake. What percentage of earthquakes fall into this category? (Round to two decimal places...
Problem 4. Let X be normally distributed with mean 1 and variance 2.2. (a) Find P0.5 < X < 2). (b) Find 95th percentile of X.
AC. Suppose the weight of a 1-year-old perch is normally distributed with mean 8.4 ounces and standard deviation 2 ounces (i) What proportion of 1-year-old perch weigh less than 9 ounces? (ii) Find the 43rd percentile of the weights of 1-year-old perch. AD. Cerebral blood flow (CBF) in the brains of healthy people is normally distributed with mean 74 and standard deviation 16. What proportion of healthy people will have a CBF reading above 110? (ii) Find the 27th percentile...
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