QUESTION 8The age of population of jurors in certain area is normally distributed with mean age of 38 years with a standard deviation of 6 years. If one juror is selected at random from this population, which ofthe following probabilities can be found without using either normal probability table or software?O a. The probability that the age of that juror is less than 30 yearsO b. The probability that the age of that juror is more than 30 yearsO c. The probability that the age of that juror is less than 38 yearsO d. The probability that the age of that juror is more than 40 years

Let X be the random variable that denotes the age. Given that X~Nμ, σ. The population mean is 38.…

Answered: QUESTION 8 The age of population of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a poll of adults, about 43% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p=0.43. Now consider a random sample of 400 adults. Complete parts a and b below. IN a. What is the probability that between 36% and 50% of the sampled adults work during summer vacation? The probability is. (Round to three decimal places as needed.) b. What is the probability that over 55% of the sampled adults work during summer vacation? The probability is (Round to three decimal places as needed.) 4
The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. a. What is the probability that a tire will last at most 40,000 miles? b. What is the probability that a tire will last at least 65,000 miles? c. What is the probability that a tire will last between 70,000 and 80,000 miles?
The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Which one of the following probabilities is cumulative probability? 1.The probability that there are exactly 4 people with o positive blood in a sample of 10 people. 2. The probability of exactly 3 heads in 6 flips of a coin 3. The probability that the accumulated annual rainfall in a certain city next year, rounded to the nearest inch, will be 18 inches. 4. The probability that a randomly selected woman's height is 67 inches or less
A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
Question 43 The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5 days and standard deviation of 2.1 days. Use Onlinestatbook or GeoGebra to find the following probabilities. Write your answers in percent form. Round your percentages to two decimal places. a) What is the probability of spending less than 7 days in recovery? b) What is the probability of spending more than 5 days in recovery? c) What is the probability of spending between 5 days and 7 days in recovery? Question Help: D Post to forum Submit Question
Answer A-C
Question 4: According to historic data, on average, 5 traffic accidents occur per month at intersection A. If the probability that more than 2 accidents happen at that intersection is more than a given threshold p, the municipality will take corrective actions to improve the intersection safety. You have been asked to investigate if the municipality should take corrective actions or not. What type of probability distribution should you use to check this and is this a discrete or continuous probability distribution? (a) Normal, Continuous (c) Binomial, Discrete (b) Poisson, Discrete (d) Exponential, Continuous Question 5: Which of the following distributions does not have a symmetric form? (a) Z~N(0,1) (c) t-distribution (b) Uniform distribution (d) x² distribution
15. During a recent period of high unemployment, hundreds of thousands of drivers dropped their automobile insurance. Sample data representative of the national automobile insur- ance coverage for individuals 18 years of age and older are shown here. b. C. Age 18 to 34 35 and over 60 Automobile Insurance Yes 1500 1900 a. Develop a joint probability table for these data and use the table to answer the remaining questions. No 340 260 What do the marginal probabilities tell you about the age of the U.S. population? What is the probability that a randomly selected individual does not have automobile insurance coverage? d. If the individual is between the ages of 18 and 34, what is the probability that the individual does not have automobile insurance coverage? e. If the individual is age 35 or over, what is the probability that the individual does not have automobile insurance coverage? f. If the individual does not have automobile insurance, what is the probability that the individual is…

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