Fill in the blanks: Let X be the random variable with the following distribution: х: -2 3 5 P (X = x) : 0.5 0.3 0.2 Determine the variance of X.

Q: Consider the probability distribution function: X: 0. 1 2 Probability: 0.2 0.7 0.1 For the above…

A: X 0 1 2 P(X) 0.2 0.7 0.1

Q: Find the variance and the standard deviation of the given probability distributions. Complete the…

A:

Q: D.elze t,30 PIZCH.3o

A: Given information- We have given the standard normal distribution. P (z < -1.30) We have to find…

Q: Find the probability using the normal distribution: P(z> 1.50).

A: We will use Standard Normal table to calculate the given probability.

Q: The probability distribution of the random variable X is given below. 0 1 2 3 X=x P(X=x)…

A: See the solution

Q: The probability distribution for a discrete random variable is given below: X         4     6     8…

A: Given that  Probability distribution table  X 4 6 8 10 P(x) 0.40 0.10 0.20 0.30   We know…

Q: What is the Variance of a geometric distribution having parameter p-0.24? Select one: a. 4.167 b.…

A: We have find variance distribution...

Q: Mx Sb sa e -e (5)- s16-a) X~U(a,b) , Calculate the variance of the random variable X.

A: Given mgf of Uniform distribution function, we need to find Variance

Q: Find the indicated probability. Use the standard normal distribution to find P(-2.50 < z < 1.50). )…

A: The given probability can be expressed asP-2.5&lt;z&lt;1.5=Pz&lt;1.5-Pz&lt;-2.5

Q: No. of accidents, x 2 3 4 Probability P(x) 0.35 0.25 0.20 0.1 0.1

A: Ans;   Given table         No. of accidents, x 0 1 2 3 4 Probability P(x) 0.35 0.25 0.20 0.10…

Q: Find the probability for each, using the standard normal distribution a) P(Z> 2.83) b) P( Z<- 1.77)

A: We will use the standard normal table to find out the required probabilities

Q: What proportion of the normal distribution corresponds to z-score values greater than z = 1.00? a.…

A: Given :  z score &gt;1

Q: d) Find the approximate variance for the population. d).

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Q: The table below shows the probability distribution of a random variable Z. z P(Z) 14 0.2 15 0.1 16…

A: Given data is Z P(Z) 14 0.2 15 0.1 16 0.7

Q: Find a value of the standard normal random variable z, call a. P(zszo)=0.0283 b. P(-Zo szsz0)= 0.90…

A: Givena)P(z≤z0)=0.0283

Q: Find the probability using the standard normal distribution. P (z< - 0.42)

A: GivenP(z&lt;-0.42)

Q: Find the variance of the binomial distribution for which n= 900 and p 0.89. I

A: Given that the parameters of binomial distribution are n = 900, p = 0.89

Q: Let x be a normal random variable with a mean of 50 and a standard deviation of 3. A z score was…

A: The Standard normal distribution is a normal distribution of standardized values called z - scores.…

Q: Find the MGF of the binomial distribution ()ra- Use it to show that the mean is p and the variance…

A: Given that the pmf of the binomial distribution is P(X=x)=nxpx1-pn-x, x=0, 1, 2,..., n. We have to…

Q: For the standard normal random variable z, find P(z ≤ 0.57). Select one: A. 0.2877 B. 0.7157 C.…

A: Draw the normal curve and shade the area to the left of z=0.57.

Q: The pulse rate of adults in a given population follows a normal distribution with a mean of 70 and a…

A: From the given information, it is clear that,  Population mean μ=70 Population variance σ2=20 Sample…

Q: Use the probability distribution to complete parts​ (a) and​ (b) below.     The number of defects…

A:

Q: Find the probability P (Z &gt; 1.78) using the normal distribution.

A: P(Z&gt;1.78)=?

Q: The random variable Z has a standard normal distribution. What is the probability that Z s negative?…

A: Correct option is a a. 0.5

Q: For a simple random sample, n = 200 and p = 0.34. At the 0.01 level , test Ho: π = 0.40 versus H1: π…

A:

Q: (b) Find the expected value and variance of the number of drinks. E(Y) = 1.55 Var(Y) = 2.85 (Type…

A: Given:     X     1 Sandwich 2 Sandwich Y 1 drink 0.35 0.2 2 drinks 0.1 0.25 3 drinks 0…

Q: Find the mgf of the random variable Y = e¬^X when X ~ Exp(X). What is the name of the distribution…

A:

Q: Exercise 38 Let X ~ N(3, 9). (i) Find P(2 6). Hint: Rescale the random variable and then use the…

A: GivenLet X~N(3,9)μ=3σ2=9σ=9=3

Q: B. Determine the Variance and Standard Deviation of each random variable. Write your answer in your…

A:

Q: Let x be a random variable that represents the percentage of successful free throws a professional…

A: X: 71,65,62,90,73,71  Y: 59,51,60,74,86,88

Q: Determine the mean of the random variable X with pmf given below. Determine the mean of the random…

A: We have given that,  If X is a random variable having probability mass function,  X      :    1…

Q: Find the variance of the random variable Z = 1−Y

A: Given that, Y denotes the proportion  of impurities in a batch and density function of Y : f(y) =…

Q: The mean and variance of a binomial distribution are 3 and 2 respectively. Find P(X < 3). 9.

A: Given data: np=3 np(1-p)=2

Q: For a chi-squared distribution, find (a) x²o.02s when v = 15; (b) x²o01 when v = 7; (c) x³o.0s when…

A:

Q: The T-Statistic uses the _______.   (a)T-Distribution (b)Chi-Square Distribution (c)Normal…

A: The objective is find the distribution of the T-Statistic.

Q: Find a value of the standard normal random variable z, called zo, such that P(z < zo) = .43 O A. Zo…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: g) Find P (Y< 0) h) Compute the expectation and the variance of the random variable X. E(X)=?…

A:

Q: The cumulative distribution function of the continuous random variable X is given by: Image.…

A:

Q: What value of the x axis marks the top 25% of the distribution?

A: Given:  Let x be a normally distributed random variable with the following parameter: mu=125…

Q: Using the pdf file f (x) x | A; Find the expected value and the variance of the random variable Y,…

A: Expected value of X is given by E(x)= integration|x x*f(x)dx = Integration|0.450.75 2.123(x-x3)dx =…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…

A:

Q: The F distribution is constructed as the ratio of two random variables following a ________…

A: We need to find suitable option using concept of F distribution

Q: Assume x is a normally distributed random variable with mean = 50 and variance = 3. Find the value…

A:

Q: Assume that Z is the standard normal random variable. (a) Find P(Z -0.59) (c) Find P(0.21 < Z <…

A: Policy: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Can the normal distribution be used to approximate the random variable x? O A. No, because nq < 5. O…

A: Let x follows binomial distribution with parameter n and p                i.e., x ~ Bin(n ,p) But a…

Q: Find the variance for the values of n and p when the conditions for the binomial distribution are…

A: Conditions for the binomial distribution  The trails are independent. The experiment is performed a…

Q: Calculate the mean, variance, and standard deviation of a binomial probability distribution, using…

A: Given information- Since the given problem is of Binomial distribution. Here, Probability of…

Q: Find the probability using the standard normal distribution. P (- 1.57 < z < 0)

A: GivenP(-1.57&lt;z&lt;0)