Suppose the cumulative distribution function of the random variable X is 0 x < 0 F(x) - 0 < x < 5 1 5 ≤ x Determine the following (do not round): 0.2x
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A: i) Since, -2<1.8<2 , so F(1.8) follows 0.25x+0.5 P(X < 1.8)=F(1.8)=0.25(1.8)+0.5=0.95
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- X denotes a binomial random variable with parameters n and p. For each exercise, indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability. P(X ≤ 4)Let X be a random variable with a uniform distribution over the interval (-10, 4]. Compute P(X > -1.4) [The answer should be a number rounded to five decimal places, don't use symbols such as %) Compute Fx(-0.1). [The answer should be a number rounded to five decimal places, don't use symbols such as %)Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
- What is the probability that a randomly selected customer will take more than 3 minutes to check out their groceries? What is P(X>3)? Round to the nearest tenths/first decimal place, 0.xLet X denote a random variable having a distribution. If F(x)=ax³ where 0≤x≤(+3). Find f(x) after getting the constant value (a) and find the probability P(2Let X be a random variable with a uniform distribution over the interval [-3,6]. Determine the mean of X. [The answer should be a number rounded to five decimal places, don't use symbols such as %]find oc x is a a normal mean U=3 805-0-5 random distribution P (ocSuppose that the random variableX has the continuous uniform distribution ( 1,0 < x < 1 0, otherwise Suppose that a random sample of n = 15 observations is selected from this distribution. What is the approximate probability distribution of X-4? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. f(x) = V distribution with mean = and variance =2Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON