Homework Answers
Add Answer to:
1. Suppose there are m 2 1 different types of coupons, and a total of n...
4. Suppose you continually collect coupons and that there are two different types of coupon, type...
4. Suppose you continually collect coupons and that there are two different types of coupon, type A and type B. Suppose also that each time a new coupon is obtained it is a type A coupon with probability 1/3 and a type B coupon with probability 2/3, independently of what coupons you have collected so far. Let X be the number of coupons collected until you have at least one coupon of both types. (a) Find the probability mass function...
Suppose there are n type of coupons. Each new coupon collected is of type i with...
Suppose there are n type of coupons. Each new coupon collected is of type i with probability Pi, independently of any other collected coupon. Here, D=1 Pi = 1. Suppose k coupons are collected. Let A be the event that there is at least one coupon of type i among the k collected. For i #j, (1) Compute P(A|AU A;) (2) Compute P(A|Aj)
Suppose that there are 12 types of coupons and that each time one obtains a coupon, it is, indepe...
Suppose that there are 12 types of coupons and that each time one obtains a coupon, it is, independently of previous selections, equally likely to be any one of the 12 types. One random variable of interest is T, the number of coupons that needs to be collected until one obtains a complete set of at least one of each type. Determine the p.m.f. of T, P(T -n) based on the fact P(T- n) P(T> n-1) P(T> n)
Suppose that...
Suppose there are 25 different types of coupons and suppose that each time one obtains a...
Suppose there are 25 different types of coupons and suppose that each time one obtains a coupon, it is equally likely to be any of the 25 types. Compute the expected number of different types that are contained in a set of 10 coupons.
Q. Given 25 different type of coupons, one coupon is obtained each time. one set obtain...
Q. Given 25 different type of coupons, one coupon is obtained each time. one set obtain 10 coupon. The probability that the type i coupon is not in the set is 24C10/25C10. Is it right? (24C10 => combination) If wrong, please tell me the answer. (i is range 1~25. coupon type index)
3. (Matching) A person types n letters that are to be sent to n distinct addresses, types the add...
3. (Matching) A person types n letters that are to be sent to n distinct addresses, types the addresses on n envelopes, and then places each letter in an envelope in a random manner Fori .. , n, let Xi-1 if the ith letter is placed in the correct envelope and let Xi0 otherwise. (Hint: May look for answers in the textbook.) (a) What is the distribution of X,? (b) Are X, and X for i independent? (c) Define X...
Exercise 12.6 At each stage, one can either pay 1 and receive a coupon that is equally likely to be any of n types, or one can stop and receive a final reward of jr if one's current collection of...
Exercise 12.6 At each stage, one can either pay 1 and receive a coupon that is equally likely to be any of n types, or one can stop and receive a final reward of jr if one's current collection of coupons contains exactly j distinct types. Thus, for instance, if one stops after having previously obtained six coupons whose successive types were 2, 4, 2, 5, 4, 3, then one would have earned a net return of 4r -6. The...
3) Suppose X~N(0,1) and Y~N(2,4), they are independent, then is incorrect. 6 X-Y N(-2,5) D Var(X)...
3) Suppose X~N(0,1) and Y~N(2,4), they are independent, then is incorrect. 6 X-Y N(-2,5) D Var(X) < Var(Y) SupposeX-N(Aof) and Y-N(H2,σ ), they arc indcpcndcnt, thcn in the following statementss incorrect 4) 5) Suppose X~NCHiof) and Y~NCHz,σ ), they are independent, if PCIX-Hik 1) > PCIY _ μ2I 1), then ( ) is correct.
is independent of X, and e Problem 3 Suppose X N(0, 1 -2) -1 <p< 1....
is independent of X, and e Problem 3 Suppose X N(0, 1 -2) -1 <p< 1. (1) Explain that the conditional distribution [Y|X = x] ~N(px, 1 - p2) (2) Calculate the joint density f(x, y) (3) Calculate E(Y) and Var(Y) (4) Calculate Cov(X, Y) N(0, 1), and Y = pX + €, where
CPoisson can not be determined. distribution P(np) ) Suppose X~N(0,1) and YN(24), they are independent, then...
CPoisson can not be determined. distribution P(np) ) Suppose X~N(0,1) and YN(24), they are independent, then (is incorrect. DX+Y-N(2, 5) BP(Y <2)>0.5 -Y-N (-2,5) D Var(X) < Var(Y) 5) Suppose X,Xy..,X, (n>1) is a random sample from N(μ,02) , let-ly, is| then Var(x)- ( Instruction: The followins ass
4. Suppose you continually collect coupons and that there are two different types of coupon, type A and type B. Suppose also that each time a new coupon is obtained it is a type A coupon with probability 1/3 and a type B coupon with probability 2/3, independently of what coupons you have collected so far. Let X be the number of coupons collected until you have at least one coupon of both types. (a) Find the probability mass function...
Suppose there are n type of coupons. Each new coupon collected is of type i with probability Pi, independently of any other collected coupon. Here, D=1 Pi = 1. Suppose k coupons are collected. Let A be the event that there is at least one coupon of type i among the k collected. For i #j, (1) Compute P(A|AU A;) (2) Compute P(A|Aj)
Suppose that there are 12 types of coupons and that each time one obtains a coupon, it is, independently of previous selections, equally likely to be any one of the 12 types. One random variable of interest is T, the number of coupons that needs to be collected until one obtains a complete set of at least one of each type. Determine the p.m.f. of T, P(T -n) based on the fact P(T- n) P(T> n-1) P(T> n)
Suppose that...
3. (Matching) A person types n letters that are to be sent to n distinct addresses, types the addresses on n envelopes, and then places each letter in an envelope in a random manner Fori .. , n, let Xi-1 if the ith letter is placed in the correct envelope and let Xi0 otherwise. (Hint: May look for answers in the textbook.) (a) What is the distribution of X,? (b) Are X, and X for i independent? (c) Define X...
Exercise 12.6 At each stage, one can either pay 1 and receive a coupon that is equally likely to be any of n types, or one can stop and receive a final reward of jr if one's current collection of coupons contains exactly j distinct types. Thus, for instance, if one stops after having previously obtained six coupons whose successive types were 2, 4, 2, 5, 4, 3, then one would have earned a net return of 4r -6. The...
3) Suppose X~N(0,1) and Y~N(2,4), they are independent, then is incorrect. 6 X-Y N(-2,5) D Var(X) < Var(Y) SupposeX-N(Aof) and Y-N(H2,σ ), they arc indcpcndcnt, thcn in the following statementss incorrect 4) 5) Suppose X~NCHiof) and Y~NCHz,σ ), they are independent, if PCIX-Hik 1) > PCIY _ μ2I 1), then ( ) is correct.
is independent of X, and e Problem 3 Suppose X N(0, 1 -2) -1 <p< 1. (1) Explain that the conditional distribution [Y|X = x] ~N(px, 1 - p2) (2) Calculate the joint density f(x, y) (3) Calculate E(Y) and Var(Y) (4) Calculate Cov(X, Y) N(0, 1), and Y = pX + €, where
CPoisson can not be determined. distribution P(np) ) Suppose X~N(0,1) and YN(24), they are independent, then (is incorrect. DX+Y-N(2, 5) BP(Y <2)>0.5 -Y-N (-2,5) D Var(X) < Var(Y) 5) Suppose X,Xy..,X, (n>1) is a random sample from N(μ,02) , let-ly, is| then Var(x)- ( Instruction: The followins ass
Most questions answered within 3 hours.
-
Why did so many investment banks have to start buying CDO’s and
other mortgaged backed securities...
asked 9 minutes ago -
The mean cost of domestic airfares in the United States rose to
an all-time high of...
asked 20 minutes ago -
1.Magazine Luiza is a Brazilian retail chain for consumer
electronics. The company currently has 100 stores...
asked 19 minutes ago -
What is the molarity of ZnCl2 that forms when 25.0 g of zinc
completely reacts with...
asked 21 minutes ago -
For independent X and Y, we have probability density function
for them where pdf of X...
asked 31 minutes ago -
The decomposition of SO2Cl2 is first order in SO2Cl2 and has a
rate constant of 1.42...
asked 28 minutes ago -
How do I convert from volume percent to mole percent in the
distillation lab? ethy acetate...
asked 34 minutes ago -
8. An air-plane has an effective wing surface area of 14.0 m²
that is generating the...
asked 35 minutes ago -
A railroad worker was a person who worked on setting and moving
railroad tracks. In securing...
asked 34 minutes ago -
using RECURSIVE Functions in Java, create a public static String
doubleLetters (String word)
For ex) that...
asked 41 minutes ago -
With a $16 Trillion national ebt, and projected annual budget
eficits in excess of $1 Trillion...
asked 55 minutes ago -
A machine shop owner wishes to assign each of three machinists
(labeled 1, 2, and 3)...
asked 1 hour ago