Exam 17: Probability Web

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Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, six yellow, and four red marbles such that the marbles are different colors.

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Sketch the graph of the following probability density function and locate the mean on the graph. f(x)=52x3/2,[0,1]f ( x ) = \frac { 5 } { 2 } x ^ { 3 / 2 } , [ 0,1 ]

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The daily demand xx for a certain product (in hundreds of pounds) is a random variable with the probability density function f(x)=29x(3x)f ( x ) = \frac { 2 } { 9 } x ( 3 - x ) over the interval [0,3][ 0,3 ] . Find the probability that xx is within one standard deviation of the mean. Express your answer as a percent.

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Two people are asked their opinions on a political issue. They can answer "Opposed" (O) or "Undecided" (U). Find the sample space S.

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Assume that the probability of the birth of a child of a particular gender is 50%. In a family with seven children, what is the probability that there is at least one girl?

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Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, five yellow, and four red marbles such that both marbles are yellow.

(Multiple Choice)
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For the probability density function f(x)=x128f ( x ) = \frac { x } { 128 } on the interval [0,16][ 0,16 ] , find the probability that x6x \geq 6 . Round your answer to the nearest hundredth.

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Find the coefficient a of the term in the expansion of the binomial. Binomial       ~~~~~~ Term (3x+2y)7( 3 x + 2 y ) ^ { 7 }          ax3y4~~~~~~~~~~a x ^ { 3 } y ^ { 4 }

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Thirteen students, of whom three are seniors, are selected as semifinalists for a literary award. Of the thirteen students, nine finalists will be selected. In how many ways can the nine finalists contain two seniors?

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Evaluate: 7P3

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Let xx be a random variable that is normally distributed with the given mean μ=50\mu = 50 and standard deviation σ=10\sigma = 10 . Find the probability P(30<x<55)P ( 30 < x < 55 ) using a symbolic integration utility.

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Evaluate the expression. 5C4{ } _ { 5 } C _ { 4 }

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Find the number of distinguishable permutations of the group of letters. E,S,T,I,M,A,T,EE , S , T , I , M , A , T , E

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Find the standard deviation σ\sigma for the following probability distribution. Round your answer to three decimal places. x 1 2 3 4 5 P(x)

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Find the constant k such that the function f(x)=kxf ( x ) = k x is a probability density function over the interval [3,8][ 3,8 ] .

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Use the Binomial Theorem to expand the complex number. Simplify your result. (43i)4( 4 - 3 i ) ^ { 4 }

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You are given the probability that an event will happen. Find the probability that the event will not happen. P(E) = 0.29

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Eighteen students are selected as semifinalists for a literary award. Of the eighteen students, eight finalists will be selected. In how many ways can eight finalists be selected from the eighteen students?

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Use the Binomial Theorem to expand and simplify the expression. (s1)5( s - 1 ) ^ { 5 }

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Sketch the graph of the following probability density function and locate the mean on the graph.  Sketch the graph of the following probability density function and locate the mean on the graph.    f ( t ) = \frac { t } { 18 } , [ 0,6 ]    f(t)=t18,[0,6]f ( t ) = \frac { t } { 18 } , [ 0,6 ]  Sketch the graph of the following probability density function and locate the mean on the graph.    f ( t ) = \frac { t } { 18 } , [ 0,6 ]

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