Consider the following discrete probability mass function. X 0 P(X= x) 3 0.25 1 0.30 Find P(1 < X < 3). Round to two decimal places. -1 0.45

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A: Solution :  Given : Pr (d) = log10(1+1d)    ; d= 1,2,3,....,9 1. Pr(d)  for d=1,2,3,....,9 Pr(1) =…

Q: For the probability density function shown, what is the value of h ? f(x) h 0.3 0.6

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Q: Using the uniform probability density function shown in Figure 5.7, find the probability that the…

A: Given uniform probability density function ,

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A: X~U(0,30) a=0  , b=30 X~U(a , b)

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A: Given: P(X|Y)=0.2, P(Y')=0.1 and P(X|Y')=0.7.

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A: The total area under the probability distribution function is always equal to 1. Total area=1 Apply…

Q: often contain surface imperfections. For a certain type of computer chip, the probability mass fu…

A: Answer X                 P[x]0                 0.401                 0.3402                 0.1103…

Q: 9. Let p(x) = 4 T(1 + (2x)²) for 20 (and p(a) = 0 if a <0). (a) Show that p is a probability density…

A: 9. Given that p(x)=4π1+2x2 for x≥0.  First, we have to show that p is a probability density…

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A: The random variable X with probability mass function is given below. x 1 2 3 4 P(x) 0.15 0.35…

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A: Given: fx=0.0825x-5.0325         61≤x&lt;65-0.0425x+2.9325      65≤x&lt;69

Q: X P(X=x) 1 1/12 2 k 3 1/4 4 1/2

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A: X has exponential distribution and probability density function of X isf(x)=12e-x2   for x≥0

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A: Given PDF is f(x) = 14exifx&lt;034cos(x)if0≤x≤π20ifx &gt; π2

Q: 1 e length of a petal on a certain flower varies from 2.56 cm to 6.76 cm and has a probability…

A:

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Q: Let the probability distribution function (pdf) for a continuous random variable be defined as f(x)…

A: Given, The probability distribution function for a continuous random variable be defined as,