In a laboratory, there are two types of tests done for a concrete cubes: compression strengthtest and water absorption test .25% failed in compression test. 40% passed in waterabsorption test and 15% failed in both. Find:1) Probability that a random sample selected is bad in compression test and good inabsorption test.2) Probability that a random sample selected is bad in absorption test and good incompression test.3) The probability that a random sample selected is good in both test.4) The probability that a random sample selected at least one of them is bad.

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Answered: In a laboratory, there are two types of…

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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b. The brake switch of the 1998 model of Mercedes Benz ML320 needs a replacement. There are similar brake switches with similar shapes but for different brands of vehicles which are all without labels. Past experience has revealed that three (3) different trials or attempts have to be made in order to get the right component fixed. If the random variable X of interest is the number of successful attempts in each combination of the three (3) different outcomes, you are required to 2 | Page 2/3 i. Determine the type of random variable X denotes ii. Obtain the probability distribution for the random variable X iii. Determine the distribution function for X
How shall we represent a mode for the continuous random variable?
A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.035. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: а. 0.4773 b. 0.5846 c. 0.5364 d. 0.3127 е. 0.404
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
A student randomly guesses at four multiple-choice questions. Each question has three possible choices. The random variable X denotes the number of correct answers. This experiment can be modeled as Oa) a normal experiment with mean 4 and standard deviation 1/3. O b) a normal experiment with mean 1/3 and standard deviation 4. O c) a binomial experiment with 3 trials and success probability 1/4. O d) a binomial experiment with mean 4 and standard deviation 1/3 O e) a binomial experiment with 4 trials and success probability 1/3.
A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making random selection. Measurement values respectively; 8, 11,9,11,9,7,11,10,10,9. After a while ; A press machine with a newer technology has been replaced by a press machine where product losses are frequently experienced in the packaging line. and products with the same features were weighed after being processed in this new pressing machine. After the new pressing machine, the weights of the products were measured as follows; 8,8,13,17,8,12,16,14,13,15. a) Test whether the average weight of the products currently exceeds 10 grams or not, at a = 0.05 significance level, by writing the relevant hypotheses and applying all necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision. b)The…
One common disease among pediatric patients is streptococcal pharyngitis (strep throat). If a pediatric patient comes in to the pediatricians feeling ill, there is a 26% chance that they have strep throat. A doctor sees 7 pediatric patients on a particular day (assume these patients are independent). Consider the random variable is a binomial random variable such that X = number of pediatric patients with strep throat. What is the expected number of pediatric patients with strep throat?
is described below. NOTE: If the method is experimental, indicate if it is a true experiment or quasi experiment. 1. I get 30 people and use random assignment to divide the people into two groups. One group reads an article about the statistics of injuries and deaths caused by people using smart phones while driving, the other group watches a short video about a person who killed someone while using their smart phone. Both groups are then monitored to see if either of these made a difference in how often these people use their smart phones use while behind the wheel. What method would that study be? 2. What method asks a series of questions that are all planned in advance?
Please answer the following question and show work! Answer all parts. Thank you

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