Let x be a random variable with the following probability distribution 1 3 P(x) 0.3 k 0.1 0.2 Find the expected value and the standard deviation for x. 2.

Q: Let X be a random variable with the following probability distribution. A) Find the expectation E(X)…

A: Given data, X P(X=x) -2 0.25 -1 0.15 0 0.35 1 0.25

Q: Let x be a random variable with the following probability distribution 2. 6. P(X) 0.3 0.2 0.3 k 0.1…

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Q: Let X be a discrete random variable with Poisson distribution, and with parameter 18. What is the…

A: Answer is option a.910 Explanation is given below

Q: A company that rents DVDs from vending machines in grocery stores has developed the following…

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Q: Let x be a random variable with the following probability distribution X 1 2 3 P(x) 0.3 k 0.1 0.2…

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Q: Find the expected value E(X) of a random variable X having the following probability distribution.…

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Q: (a) P(Z 0.12)

A: Note: Please repost remaining subparts as I can author only 3 sub-parts as per my policy.

Q: Let x be a random variable with the following probability distribution 1 3 P(x) 0.3 k 0.1 0.2 Find…

A: Solution: 10. From the given information, the probability distribution of X is

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 1 0.05…

A: Solution-: We have following table: X P(X=x) 1 0.05 2 0.85 3 0.05 4 0.05 We find, (a)…

Q: 3. Let X be a random variable with the following probability distribution: 5 10 15 20 25 X P(X) 0.5…

A: X 5 10 15 20 25 P(X) 0.5 0.30 0.25 0.25 0.15

Q: Consider the discrete probability distribution, 10 12 18 20 P(x) 0.2 0.1 0.1 i. Calculate P(x > 18)…

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Q: The following shows the probability distribution for the random variable x:  x…

A: Given the probability distribution table. x P(x) 1 0.20 2 0.10 3 0.30 4 0.25 5 0.15…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

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Q: Let the random variable Z have a standard normal distribution. Find each of the following…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: Let X be a random variable with expected value 2, and let Y be a random variable with expected value…

A: Recall:      Let X and Y be the random variable with expected values  then…

Q: Let X be a random variable with the follow Value x of X P(X=x) -2 0.25 -1 0.15 0.35

A: We have to find expected value...

Q: Q.3. Consider the following discrete probability distribution: P (x) 0.1 10 0.15 15 0.25 20 0.5 (a).…

A: We want to find the  (1) mean of random variables (2) mean of the pmf  (3) sd of the pmf

Q: Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation o…

A: Given: Population Mean,μ = 50 Population Standard Deviation,σ = 7

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Q: Let x be a random variable with the following probability distribution Number 1 2 3 P(x)=f(x) k 1/3…

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Q: Let x be a random variable with the following probability distribution -1 1 2 P(x) 0.2 k 0.3 0.25…

A: To find: The expected value and standard deviation of X.

Q: Let x be a random variable with the following probability distribution 2 4 P(x) 0.3 0.2 0.3 k 0.1…

A: answer the correct option is A a. 2.7 and 2.1

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A: Given probability distribution table is value x of X P(X=x) -2 0.05 -1 0.35 0 0.25 1 0.35…

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Q: Let X be a binomial random variable with n = 20 and p = 0.1. a) Find the formula for the probability…

A: We have given that  Number of trials n=20 Success of probability p =0.1 X~binomial ( n ,p)   NOTE:-…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

A: Let X be the random variable having probability distribution is,  X -20 -10 0 10 20 P(X=x)…

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Q: Consider the following discrete probability distribution:  x P (x) 5 0.1 10 0.15 15 0.25 20 0.5…

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A: Given, X P(X=x) -2 0.25 -1 0.20 0 0.40 1 0.10 2 0.05

Q: Let x be a random variable with the following probability distribution 2 4 P(x) 0.2 0.3 0.3 k 0.1…

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A: According to the rule of probability, the total probability should be 1.

Q: Let X be the random variable with the following distribution: x: 1 2 3 4 5  P(X=x): k 0.04 0.3 0.2…

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Q: Let X be a binomial random variable with n 25 and p =0.6. Approximate the following probabilities,…

A: It is given that the sample size n is 25 and the p is 0.6.

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Q: X is a normally distributed random variable with a mean of 10 and a standard deviation of 5. The…

A: Given data, μ=10σ=5P(X<9.7)=?

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Q: Let X be a random variable that follows the Poisson distribution with a mean of 6. Find: a. РX-0) b.…

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Q: Let X be the random variable with the probability distribution. 20 5 P(x) 10 15 25 0.06 0.27 0.24…

A: From the provided information, 1) The required probability can be obtained as:

Q: Let x be a random variable with the following probability distribution 1 3 P(x) 0.3 0.4 0.1 k Find…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!