Use the probability distribution for the random variable x to answer the question. 0 = X 0 1 4 5 p(x) 0.05 0.05 0.2 0.25 0.15 0.3 2 3 Find μ, ², and o. (Round your standard deviation to two decimal places.) μl = 0² =

Q: 4. The continuous random variable X has a lognormal distribution if the random variable Y = In(X)…

A: import numpy as np sample = np.array([5.75, 5.73, 5.57, 5.67, 5.42, 6.02, 5.85, 5.39, 5.50, 5.37,…

Q: From the probability distribution, find the mean and standard deviation for the random variable x,…

A: V(X)=E(X2)−μ2

Q: 2n- 50 and p= 0.45

A: Given, Let, n =number of trials p =the probability of success q=1-p

Q: Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18…

A: Answer  Given  x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18

Q: 1 3 4. P(x) k 2k 0.15 0.2 0.05 Find the value of k. • 1 • 0.3 • 0.6 • 0.2 2.

A: Given:  xi 0 1 2 3 4 Pxi k 2k 0.15 0.2 0.05

Q: Find the missing value for P(X=2) in the probability distribution of X=no. of children ages 18 ar…

A: Solution

Q: The table below shows the probability distribution of the random variable X. a. Find the mean of the…

A:

Q: must wait fi ve days for its first successful hunt? 0.08192

A: Here use geometric distribution  P = 0.20 K = 5

Q: te random variable. Let E(X)=10 and Var(X)=5. Since Y = x2 + 3X, What is E(Y)=?

A:

Q: Pain is measured on a scale from Grade 1 (no pain) to Grade 4 (severe pain). X is the pain score of…

A: 1. Wrong, because it is a discrete random variable. 2. Wrong, P(X<2) = P(X≤1)

Q: According to rainfall data collected by a laboratory during storm events, the precipitation level in…

A: Solution

Q: QUESTION 13 1. For a random variable with the given probability distribution. 2. 4 f(x) 0.41 0.37…

A:

Q: A random variable X has a probability distribution function as follow: X P(X=x) 0.3 15.2 12.5 1 15.5…

A:

Q: 23. Table Q3 1 2 0.15 a 3 0.4 X P(X=x) Given E(X)= 3.05, calculate the values of a and b. 6 b

A: a=0.25 b=0.20

Q: Round all of your final answers to four decimal places if necessary. The probability distribution of…

A:

Q: A random variable has this probability distribution. P(X) 1/9 2/9 3/9 219 a. Find P (x =4) b. Find…

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

Q: The accompanying table describes results from groups of 10 births from 10 different sets of parents.…

A: Formula used: The maximum value in this range = μ+2σ μ = E(X) = ∑X·P(X) E(X2) = ∑X2·P(X) σ =…

Q: 1. 12 P(X = x) 0.25 0.50 0.05 0.20 3.

A:

Q: 5. Given (kx? if z = 1, 2, 3, 4 P(x) = else sa probability function for a discrete random variable;…

A:

Q: The probability of z between 0.25 and 1.04 is about,.. O A. 0.2521 O B. 0.8508 CC.0.5987 D. 0.7479

A: Solution: 3. Here, it is needed to find the probability.

Q: For a random variable with the given probability distribution. 2. 3 4. fix) 0.41 0.37 0.16 0.05 0.01…

A: Given data,   P(0≤x≤2)-(P(X≥3))=?

Q: # 14 Find the indicated probability. P(x> 2); µ = 3; o = 0.25

A: Solution

Q: Let X and Y be the number of tables and chairs in an office. p(x, y) of X and Y is given in the…

A: From the given information, the joint density for X and Y is,   y=0 y=1 y=2 y=3 x=1 0.05 0.06…

Q: The random variable X has the distribution shown in the table to the right. P(X = x) (a) Find P(X =…

A:

Q: P(x) 0. 0.05 0.15 0.3 0.5 Find the standard deviation of this probability distribution. Give your…

A: Given x P(x) 0 0.05 1 0.15 2 0.3 3 0.5

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12 ,0.15, 0.23,…

A: The standard deviation can be calculated by taking square root of the variance of X. And the…

Q: 5/1/24, 11:52 PM A L Solve the problem. 17) The accompanying table shows the probability…

A: xP(x)x*P(x)x2*P(x)10.10.10.120.220.440.8830.160.481.4440.10.41.650.170.854.2560.251.59…

Q: A probability function for a discrete random variable, Y, is shown below.     y P(Y=y) 4 0.4…

A: Y 4 6 8 10 P(Y=y) 0.4 0.2 0.2 0.2

Q: The random variable X has the following probability distribution. -1 0 P(X=x) 0.20 0.50 0.30…

A: Consider the probability distribution:

Q: Let T be a random variable. If E(T) = a+b0, find an unbiased estimator of 0. Is the mean- squared…

A:

Q: The random variable X has a binomial distribution with n=20 and p 0.01. What is the mean and…

A: As in binomial distribution  Mean = n*p variance = n*p*(1-p)

Q: x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability…

A: From the provided information, The expected value of x can be obtained as: