** Question 1: Consider the following discrete probability distribution. The mean of this random variable is 3.75.
x |
0 |
1 |
2 |
5 |
P(X=x) |
0.10 |
0.70 |
a) Find the missing values for P(X=1) and P(X=2) Hint: you will need to use two equations here, and substitution. This should be familiar from high school mathematics. The two equations you will need are for the mean of a discrete random variable and that the sum of all the probabilities equals 1.
- please show all work. I am stuck
** Question 1: Consider the following discrete probability distribution. The mean of this random variable is...
the probability distribution function for the discrete random variable where X is equal to the number of red lights drivers typically run in year follows. x 1,2,3, p(x) 0.70, 0.12 , 0.02 , 0.16 what is the mean of this discrete random variavle?
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
Which of the following is/are required for the probability distribution of a discrete random variable X, with probabilities PlX = x) to be valid? 1. Os PCX=x)s 1 for all x 1. P(X=x) - 1 all ill. all x 20 I only Il only I and Il only ll, and I Il and ill only.
A discrete random variable X has the following probability distribution: x7778798081 P(x) 0.150.150.200.400.10Compute each of the following quantities. i. P(X = 80) ii. P(x > 80) iii. P(X ≤ 80) iv. The mean, μ of x. v. The variance, σ2 of X. vi. The standard deviation, σ of X.
Which of the following is/are required for the probability distribution of a discrete random variable X with probabilities P(X= x), to be valid? I. PX x) is between 0 and 1 for all values of x. 2aPXx) ii. all x i, all x2 0 Il and Ill only Il only I and Il only I, II, and III only
2. Consider a discrete random variable X with mean u = 4.9 and probability distribution function p(x) given in the table below. Find the values a and b and calculate the variance o p(x) 0.25 5 6 0.35
In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5 th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.1670.1940.3440.1780.117(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
In the following probability distribution, the random variable represents the number of a part of a K to 5th grade student is involved in Complete parts (a) through (f) below.x01234P(x)0.2950.1050.2900.0540.248(a) that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x.The mean is _______ activities.
[Q#2] (7pts) Suppose a discrete random variable Y has a Geometric probability distribution with probability of success p (>0). Its p.d.f. p(y) is defined as P(Y = y) = p(y) = p (1-p)y-1 for y = 1,2,3, ... Verify that the sum of probabilities when the values of random variable Y are even integers only is 1-p. That is to find p(2) + p(4) +p(6) +.. 2 – p