If there are 25 uncensored observations at70°C that are assumed to be observationson independent Exponential randomvariables with mean 070. The maximumlikelihood estimate of 070 is '' 70 = 97.44.The relative likelihood function evaluated at070 = 80 is closest toA) 0.595 B) 0.375 C) 0.634 D) 0.712

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Answered: If there are 25 uncensored observations…

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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From the Gaussian error curve, what is the probability that a result From population lies between +o and +20 ? Given that area under Gaussian curve for + o= 68.3% and + 20=95.4% O 30.65 % 20.22 % 13.6% O34.2% O47.7 %
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 24. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 24. The value of the mean is muμequals= peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is sigmaσequals= peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values ofpeas or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 11 peas with green pods a result that is significantly low? Why or why not? The result ▼ is…
c) Answer both of the following: i) Consider a random variable X which is normally distributed with mean zero and unit variance. Using the proper statistical table, find the number z such that P(z < X < 2.64) = 0.4760. Give your answer rounded to 2 decimal places. follows at distribution with (2n + 1) degrees of freedom, i.e. Y ~ t2n+1- ii) A random variable Make use of the appropriate statistical table to get the value of n knowing that P(Y 2 3.1824) = 0.025.
The variance of the height measurements is .012 If the mean height is assumed to be2.00 What is the probability that the next height measurement will measure between ±0.45σ of 2.00 ? What about ±0.15σ of 2.00 ?
A consumer group plans a comparative study of the mean life of four different brands of batteries. Ten batteries of each brand will be randomly selected and the time until the energy level falls below a pre-specified level is measured. a) Which of the following is the appropriate alternative hypothesis for the null hypothesis: H0: μa = μb = μc = μd? (In this problem, μa = mean time of Brand A, μb = mean time of Brand B, etc.) Ha: none of the means are equal Ha: μa ≠ μb ≠ μc ≠ μd Ha: μa ≠ μb, μa ≠ μc, μa ≠ μd, μb ≠ μc, μb ≠ μd, μc ≠ μd Ha: at least one of the means is different b)In order to analyze the data with ANOVA, we need to satisfy the condition of randomization. How do we know that this condition has been met? -One SRS of batteries is selected from a collection of batteries of all brands. -The batteries are randomly allocated to the four brands. -Separate random samples of batteries are selected from each brand.
Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard deviation 5. Compute the following probabilities. P(X2 60) is: O.0228 .9772 O.9862 O:1325
4.2 9
Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(
Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0μ=74.0 beats per minute and a standard deviation of sigma equals 12.5σ=12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 7777 beats per minute.
a) b) c)

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