CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standarddevíation is 150 dollars. You will use a simple random sample of 83 auto insurance policies.Find the probability that a single randomly selected policy has a mean value between 951.4 and 990.9dollars.P(951.4 < X < 990.9) =83 has a mean value between 951.4 and 990.9Find the probability that a random sample of size n =dollars.P(951.4 < M < 990.9) =Enter your answers as numbers accurate to 4 decimal places.Question Help: D Video O Message instructorSubmit Question

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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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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 102 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.Find the probability that a randomly selected person's IQ is over 99. Round your answer to 4 decimal places.A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:
3.
The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,005. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. please answer all 3 subs B, C, and D round all answers to 4 decimal place where possible thank youb. Find the probability that a randomly selected acre in the forest has fewer than 54,589 ants. c. Find the probability that a randomly selected acre has between 48,168 and 56,283 ants. d. Find the first quartile. ants (round your answer to a whole number)
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4 and a mean diameter of 209 inches. If 69 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches? Round your answer to four decimal places. use ti 84 device
Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible.a. Find the probability that a randomly selected LA worker has a commute that is longer than 27 minutes. b. Find the 70th percentile for the commute time of LA workers. minutes
Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eleven months with a sample standard deviation of two months. Assume that the underlying population distribution is normal. Part (a) (i) Enter an exact number as an integer, fraction, or decimal. x = (ii) Enter an exact number as an integer, fraction, or decimal. sx = (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 = Part (b) Part (c) Part (d) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) Explain your choice. Construct a 99% confidence interval for the population mean length of time using training wheels. (i) State the confidence interval. (Round your answers to two decimal…
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.For the group of 6 patrons, find the probability that the average lunch cost is between $6.2647 and $7.3532.
The amount of time a marker takes to mark a single Advanced Business Statistics exam script has a normal distribution with mean 336 seconds and standard deviation 198 seconds. One script is selected at random. Find the probability that it takes the marker more than 500 seconds to complete marking this script. A. 0.2033 B. 0.2967 C. 0.7033 D. 0.7967
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: a. 0.0 b. =P(Z>1) c. =P(Z=0) d. =P(Z<1) e. None of the others
The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 82000 miles and a standard deviation of 7000 miles. A. What is the probability that the tire wears out before 70000 miles? Probability = B. What is the probability that a tire lasts more than 87000 miles? Probability =

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