A company produces a type of pump used in offshore installations. All ready-made pumps arefunctionally tested, and one or more faults are found on some of the pumps. Based on long-termexperience, it is known that the number of faults found per pump, X, has the probability distributiongiven in the table belowXP(X=x)01 2 30.92 0.05 0.02 0.01Let Z be the number of pumps that must be tested until the first time a pump with at least one faultis founda) Calculate P(Z = 10), P(Z ≤ 10) og E(Z).

Let Z be the number of pumps that must tested until the first time a pump with at least one fault is…

Answered: A company produces a type of pump used…

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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The number of pets per household in in a certain neighborhood varies from 0 to 6. The probability distribution of the number of pets owned by a random household, X, is as follows:
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Let the random variable X denote the age of a female groundhog, and let the random variable Y denote the total number of offspring it has had. The joint probability distribution for X and Y is given by the above table. Find the correlation coefficient ρX,Y
, 16. A statistically minded fraternity junior keeps records on how many girls he has to ask before one agrees to be his date for a Saturday football game. His school plays five home games and his five acceptances come on the 3rd, 6th, 4th, 2nd, and 9th girl he asks. Assume that the probability, e, that any girl he asks will accept his invitation is constant from girl to girl. Mind ML estimate of e.
For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.
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A school district has a standardized test that it uses to determine placement into special classes. The superintendent is looking to determine whether male and female students have different scores on the test. The scores for a random sample of 25 male students and 25 female students are recorded. Assume that the scores are normally distributed for both male and female students. Let the male students be the first sample, and let the female students be the second sample. Is there enough evidence, at a = 0.01 to show a difference between male and female scores? Identify the degree of freedom and the critical value(s) to be used for this hypothesis test. Do not round; use the exact value from the t-table. Degree of freedom = Provide your answer below: Critical Value(s) = Males Females x1 = 168x2 = 171 $1 = 14 $2 = 17 n1 = 25 n2 = 25 Probability Degrees of Freedom 23 24 25 26 27 28 29 0.10 0.05 0.025 0.01 0.005 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060…

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