Question

A drawer contains three red socks, four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV \"number of red socks drawn\" and G is the DRV \"number of green socks drawn\". (a) Write down the joint probability distribution of R and G. (b) Find P(G = 1 | R = 0). (c) Find E(RG). (d) Show that E(RG) \neq E(R)E(G)

Name: A drawer contains three red socks, four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV n̈umber of red socks drawnänd G is the DRV n̈umber of green socks drawn.̈ (a) Write down the joint probability distribution of R and G. (b) Find P(G = 1 | R = 0). (c) Find E(RG). (d) Show that E(RG) ≠E(R)E(G)
Uploaded: 2023-09-22T02:54:44-08:00
Duration: 2 min 11 s
Channel: Keondre Parker
Description: A drawer contains three red socks, four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV n̈umber of red socks drawnänd G is the DRV n̈umber of green socks drawn.̈ (a) Write down the joint probability distribution of R and G. (b) Find P(G = 1 | R = 0). (c) Find E(RG). (d) Show that E(RG) ≠E(R)E(G)

          A drawer contains three red socks, four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV \"number of red socks drawn\" and G is the DRV \"number of green socks drawn\". (a) Write down the joint probability distribution of R and G. (b) Find P(G = 1 | R = 0). (c) Find E(RG). (d) Show that E(RG) \neq E(R)E(G)

A drawer contains three red socks, four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV n̈umber of red socks drawnänd G is the DRV n̈umber of green socks drawn.̈ (a) Write down the joint probability distribution of R and G. (b) Find P(G = 1 | R = 0). (c) Find E(RG). (d) Show that E(RG) ≠E(R)E(G)

Added by Vanesa C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Keondre Parker

09/22/2023

Step 1

There are a total of 12 socks in the drawer: - 3 red socks - 4 blue socks - 5 green socks The total number of ways to choose 2 socks out of 12 is C(12,2) = 66. Now, let's calculate the probabilities for each outcome: - P(R=0, G=0): Probability of drawing 0 red Show more…

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Hi need help ASAP,thank you! Please explain as detailed as possible but please send me solution(if any) by today, will upvote! drawer contains three red socks, four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV "number of red socks drawn" and G is the DRV "number of green socks drawn". (a) Write down the joint probability distribution of R and G. (b) Find P(G=1|R=0). (c) Find E(RG). (d) Show that E(RG)!=E(R)E(G) A drawer contains three red socks. four blue socks and five green socks. Two socks are drawn at random without replacement. R is the DRV "number of red socks drawn" and G is the DRV "number of green socks drawn". a) Write down the joint probability distribution of R and G b)Find P(G=1|R=0 c)Find E(RG) d)Show that E(RG)#E(R)E(G