Entries by Hannah Wangui

Find the probability

10 cards are drawn from a standard deck of 52 cards. Find the probability of having exactly 2 sets of three of a kind.   Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code “Newclient”

 

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random variable

Let X be a random variable with geometric(p) distribution on {0, 1, 2, . . . }. Given X = x, Y has negative binomial (x, p) distribution on {0, 1, 2, . . . }. 1. (5pt) For x a fixed integer, what is P(Y = x|X = x)? 2. (5pt) What is P(X […]

 

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exponential random variable measured

Jenny and Peter plan to join a zoom meeting at 1pm. The time Jenny joins, X, is uniform from 1pm to 1:10pm. The time Peter joins, Y , is an exponential random variable measured in minutes starting at 1pm, with λ = 1/4. 1. (3pt) Find the chance that Jenny joins the meeting before Peter. […]

 

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probabilities of random variables

Inspired by 6.4.7 from the text: Let X1 and X2 be indicators of independent events with probabilities p1 and p2, respectively. Consider random variables Y = (X1 + X2) and Z = (X1 − X2). Prove your answers to the questions below. 1. (5pt) For what values of p1 and p2 will Y and Z […]

 

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