Consider 3 rocket launchings at this NASA base. Let X-number of launchings among 3 that are delayed dus7. Experience has shown that 30% of rocket launchings at a NASA base have had to be delayed due to wetconditions.a) X has a binomial distribution with n=9. Use the following data to825700elayed dand =Monthly RentSize (Sq Ft)0) Find the probability that exactly 0 of 3 launchings will have to be delayed due to weather conditions.Predict tha.c) Find the mean number of rocket launchings that will be delayed among 38.. A movie theater is interested in the proportion of Columbia Pictures films that are R-rated. A random sample of 65films are considered, of which 28 are R-rated.a) Compute a 95% confidence interval for the proportion of all Columbia pictures that are R-rated.a Interpret the 95% confidence interval from a) in the context of the problem.

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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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There are two car battery producers, such as A and B. The mean lifetimes of batteries are 1424 and 1624days from the producers of A and B, respectively. The standard deviations of the batteries from both manufacturers are 200 and 100 days for A and B, respectively. Random samples of 120 batteries from each company are selected for the test.a) Please find the probability for the Brand A batteries that the average lifetime is at most 960 days.b) Find the probability for the Brand A batteries that the average lifetime is 150 days more than the batteries from Brand B.
Assume that the actual flight times between two cites M and C are uniformly distributed between 190 min. and 324 min. what is the probability between 200 min. and 311 min (answer to 3 decimal points)
5. Suppose that the number of insects caught in a spider's web in one day follows a Poisson distribution with rate = 2.6. For the questions that follow, make sure to define a random variable, state its distribution (including parameters), and translate the question into a probability statement. %3D wg probal b What is the probability that the spider catches at least one insect in 12 hours? PUS 18)
Find conditional probability Find mean and standard deviation 11)The age of customers at a local hardware store follows a uniform distribution over the interval from18 to 60 years old. Find the average age of customers to this hardware store. 140). 12) Suppose x is a uniform random variable with a = 20 and b = 80. Find the standard deviation of x. Find mean and standard deviation
16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.50. Assume that the groups consist of 32 couples. A) Find the mean and the standard deviation for the numbers of girls in groups of 32 births.
Q5) A person who conducts telephone surveys must complete 3 more surveys before the end of their shift. For each randomly dialed number, there is a 9% chance of reaching a person who completes the survey. a) What is the probability that the 3rd completed survey will occur on the 10th call? b) What is the probability that more than three completed surveys will occur in 10 calls? c) Draw a diagram of the distribution of surveys completed in 10 calls specifying their mean value and standard deviation (It is recommended to use formula for mean and standard).
An airline knows that the number of suitcases it losses per week is in normal distribution with mean 26,2 and standard deviation - 5.8. Find the probabilities that in one week on the give route it willlose a) Exactly 22 suitcases b) Almost 22 suitcases c) At least 22 suitcases
5) a,b and c. Solve them step by step.
2. The difference between the two groups has been declared statistically significant at the a = 0.05 level. Use the "No Adolescent Marijuana" group to determine a suitable p0, and then test the hypothesis: HO: p ≤ p0 HA: p > p0 where p is the population proportion (conceptualized) of all adolescent marijuana users who would develop schizophrenia. Show all your work. Are the results statistically significant as claimed? Make sure you report the standard score, a p-value, your conclusion, and a comment on what statistical risk has been taken and controlled for in this testing process. Percent Developing Schizophrenia 7%- 6%- 5%- 4% 3%- 2%- 1%- 0%- A Particular COMT Gene and Psychosis 2.3% No Adolescent Marijuana Use (n=311) 5.5% Adolescent Marijuana Use (n=91)

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