The weekly demand of a slow-moving product has the following probability mass function Demand, x Probability, f(x) 0 0.2 1 0.4 2 0.3 3 0.1 4 or more 0 Use VLOOKUP to generate 25 random variates from this distribution. (25 points)
The probability mass function of X is
x : 0 1 2 3 4 or more
f(x): 0.2 0.4 0.3 0.1 0
The weekly demand of a slow-moving product has the following probability mass function Demand, x Probability,...
The distribution of GMAT scores in math for an incoming class of business studies has a mean of 620 and standard deviation of 15. Assume that the score are normally distributed. Generate 25 random variates from this distribution as whole numbers. (35 points) The weekly demand of a slow-moving product has the following probability mass function Demand, x Probability, f(x) 0 0.2 1 0.4 2 0.3 3 0.1 4 or more 0 Use VLOOKUP to generate 25 random variates from...
A discrete random variable X has probability mass function P() 0.1 0.2 0.2 0.2 0.3 Use the inverse transform method to generate a random sample of size from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function. 1000
3. The manager of a stockroom in a factory has constructed the following probability distribution for random variable X = the daily demand (number of times used) for a particular tool. x 0 1 2 3 p(x) 0.2 0.4 0.1 0.3 Provide Fx, the cumulative distribution function of X.
#3.7 distribution. 0 and check that the mode of the generated samples is close to the (check the histogram). theoretical mode mass function 3.5 A discrete random variable X has probability 3 4 AtB.8 HUS 2 X p(x) 0.1 0.2 0.2 0.2 0.3 a random sample of size Use the inverse transform method to generate 1000 from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function....
5 Consider a discrete random variable X with the probability mass function rp(x) Consider Y = g( X ) =- 0.2 0.4 0.3 0.1 a) Find the probability distribution of Y. b Find the expected value of Y, E(Y). Does μ Y equal to g(Hy )? 4
5.Consider a discrete random variable X with the probability mass function xp(x) Consider Y-g(X) 0.2 0.4 0.3 0.1 a)Find the probability distribution of Y b) Find the expected value of Y, E(Y) Does μ Y equal to g(μx)? 4
2. (10 points) The random variable X has the following probability distribution x 2 3 5 8 Pr(X = x) 0.2 0.4 0.3 0.1 a) Pr (X<=3) P(X<=3) b) Pr( 2.7<X<5.1) c)Pr(X>2.5) d) E(X)
Question 11 1 pts The following is the Probability Distribution Function for a discrete Random Variable. What is the expected value of x? X P(x) 10 11 12 13 0.1 0.3 0.4 0.2
1. A Markov chain {X,,n0 with state space S0,1,2 has transition probability matrix 0.1 0.3 0.6 P=10.5 0.2 0.3 0.4 0.2 0.4 If P(X0-0)-P(X0-1) evaluate P[X2< X4]. 0.4 and P 0-2) 0.2. find the distribution of X2 and
Explain why the probability mass function P(X = 1000) = 0.1, P(X = 1500) = 0.2, P(X = 2000) = 0.3, P(X = 2500) = 0.3, P(X = 3000) = 0.1 is not practical as a distribution for the number of phone calls to a help-desk call center during a day