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.
An insurance company receives 2090 claims in a year. Each claim is normally distributed with mean...
a.) Test scores are normally distributed with a mean of 60 and a variance of 225. Joe scored at the 90th percentile which means that his score was? b.) Suppose X is normally distributed with mean 4 and standard deviation 4. Find the probability that 2X exceeds 7. c.) Test scores are normally distributed with a mean of 60 and a standard deviation of 15. Joe scored at the 95th percentile which means that his score was d.) a random...
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...
The upper leg length of 20- to 29-year-old males is normally distributed with a mean length of 43.7 cm and a standard deviation of 4.2 cm. (A) Find the probability that a randomly selected a U.S. man who are 20–29 years old has an upper leg length that is less than 40 cm? . (B) Find the 95th percentile. (C) What is the probability that a random sample of 9 males who are 20–29 years old results in a mean...
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.
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 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 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 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...