Joint and Conditional Probability: In a box of 20 fruits, there are 8 apples and 12 oranges. 4 apples are red, and the rest are green. What is the probability that a randomly selected fruit is a green apple? A) 0.1 B) 0.2 C) 0.3 D) 0.4

Q: Please show work. Given a continuous random variable X with probability density function: a) What…

A: Given a continuous random variable X with probability density function:

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A: As per policy I have calculated first main question plz REPOST for remaining questions. There is 0.3…

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A: The random variable number of raisins follows Poisson distribution with mean 5.2.

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A: WhitingMean age = 62.1 yearsStandard deviation = 5.4 yearsn1 = 20FranklinMean age = 55.6…

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A: From the provided information,The cumulative area is 0.4708.

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Q: Given the probability density function: f(x): = Calculate: 0.08x 0.16 for 2 ≤ x ≤7 elsewhere 0 a)…

A: f(x)=0.08x-0.16 ; 2≤x≤7

Q: 2). ically fills 16-ounce bottles. There is some variation in the amounts of liquid dispensed into…

A: It is given that Mean = 16Std. deviation = 1

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Q: P(z> -1.062) = (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=0 , ?=1 For standard normal distribution.Z-score =( x - μ )/?

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A: A campus radio station surveyed 500 students. 207 like rock, 163 like country, and 119 like jazz.…

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A: X~N( μ , ?)μ=20.2    , ?=5.4Z-score =( x - μ )/?

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Q: Problem 4: A finite state machine has 3 states, labeled {1, 2, 3}. The input of this state machine…

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A: f(x)=c(64-x2); 0≤x≤8

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A: No.of defective tablets=5No.of non defective tablets=23

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Q: A bag contains 9 Cherry Starbursts and 21 other flavored Starburts. 10 Starbursts are chosen…

A: There are total 9 cherry starbursts and 21 other flavoured starbursts.