A random variable X has the following probability distribution 11/5Find d and construct a probability histogram to describe P(x).134P(x)d/259/252d/252/25

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Answered: 1 1 3 4 P(x) 1/5 Find d and construct a…

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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Talent Corp is a HR-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. Number of New Clients Probability 0 0.05 1 0.10 2 0.15 3 0.30 4 0.25 5 0.10 6 0.05 Compute the expected number of new clients each month. Compute the variance and standard deviation for the expected number of new clients. What is the probability that there will be 2 or fewer clients next month?
For a t-distribution with 13 degrees of freedom, what is the probability that a t-score will be greater than 1.771? O A. 0.025 O B. 0.075 O C. 0.062 O D.0.1 O E. 0.05
Bird wingspans The wingspans of the females of a certain species of bird of prey form a normal distribution with mean 168-75 cm and standard deviation 6-5 cm. The wingspans of the males of the species are normally distributed with mean 162-5 cm and standard deviation 6 cm. What is the probability that, if a male and female are taken at random, the male has a larger wingspan than the female?
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.2 mg/L with 95% of the data ranging from 5.4 mg/L to 13.0 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume xhas a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L?(Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 6.3 mg/L to 13.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number of cavities filled in the last three years for a randomly chosen patient. The dentist found that the random variable, X, had the probability distribution shown in the table. Number of Cavities Probability 0 0.35 0 0.15 O 1.49 1.73 2.98 2 0.30 0.15 3 0.15 4 0.05 Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities are filled independently of one another, what is the standard deviation of D?

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1 1 3 4 P(x) 1/5 Find d and construct a probability histogram to describe P(x). d/25 9/25 2d/25 2/25