You have prepared 10 types of treats for your 5 cats. You don’t know which treat...

You have prepared 10 types of treats for your 5 cats. You don’t know which treat each of your cats will

go for, so you have bought for each type enough treats for all your cats. Assume that each cat is equally

likely to choose any type of treats, and let X be the number of pairs of cats that will choose the same

type of treats. Compute E(X) and Var(X).

(Hint: consider events Ai,j that the ith and jth cats will choose the same type of treats.)

Expert Solution

A(i, j) pair that ith and jth cat choose same treat

Each cat choose treat equally likey with prob 5/10=0.5

P(Ai.j)=P(Ai)P(Aj)=0.5*0.5=0.25

For example P(A12) =0.25

A12, A13, A14, A15 there 4 such pairs of cats those will choose same treat with probability 0.25

We get E(X) =2.50

Variance (X) =1.25

Solution file is attached go through it

Thanks

orchestra answered 1 year ago

You want to know if, on average, households have more cats or more dogs. You take...

You want to know if, on average, households have more cats or more dogs. You take an SRS of 8 households and find the data below: # of cats # of dogs 2 1 0 1 3 3 2 4 0 0 4 2 0 2 2 1 A) Determine the population(s) and parameter(s) being discussed. B) Determine which tool will help us find what we need (one sample z test, one sample t test, two sample t test, one...

1. You want to know if, on average, households have more cats or dogs. You take...

1. You want to know if, on average, households have more cats or dogs. You take an SRS of 8 households and find the data below. # of cats, 2, 0, 3, 2, 0, 4, 0, 2, and the number of dogs is 1, 1, 3, 4, 0, 2, 2, 1. a) determine the populations and parameters being discussed b) determine which tool will be help us find what we need (one sample z test, one sample t test, two...

1. If you don’t know where you are going ‘’all roads lead to your destination’’ Discuss...

1. If you don’t know where you are going ‘’all roads lead to your destination’’ Discuss the forgone assertion in relation to the maintenance of a healthy organisational climate. Subject: Organisational Behavior & Management

1. How could you ensure your medical office is prepared to treat someone who is deaf?...

1. How could you ensure your medical office is prepared to treat someone who is deaf? 2. How would you tell a deaf patient you need to move them to a patient room? 3. When the patient is leaving how can you tell them you will schedule a follow up appointment?

Suppose that a batch of 130 items actually contains 10 faulty items (but we don’t know which ones are faulty).

Suppose that a batch of 130 items actually contains 10 faulty items (but we don’t know which ones are faulty). A quality control officer gets to sample 5 items from the batch. If there is at least one faulty item in the sample, the whole batch is classified as faulty and sent back to the manufacturer (as it should be!). What is the chance that the quality control officer correctly detects this faulty batch of items?

Did you know that diesel engines don’t have spark plugs? The cycle that diesel engines undergo...

Did you know that diesel engines don’t have spark plugs? The cycle that diesel engines undergo involves adiabatically compressing the air in the cylinder, then injecting some fuel. When the fuel is injected it ignites if the temperature of the air in the cylinder is above the fuel’s flashpoint. Most diesel engines have a compression ratio (the ratio of the maximum to minimum volume) between 14:1 and 25:1. a) For the given range of compression ratios, what is the range...

Did you know that diesel engines don’t have spark plugs? The cycle that diesel engines undergo...

Did you know that diesel engines don’t have spark plugs? The cycle that diesel engines undergo involves adiabatically compressing the air in the cylinder, then injecting some fuel. When the fuel is injected it ignites if the temperature of the air in the cylinder is above the fuel’s flashpoint. Most diesel engines have a compression ratio (the ratio of the maximum to minimum volume) between 14:1 and 25:1. a) For the given range of compression ratios, what is the range...

You want to have $54,000 in your savings account 5 years from now, and you're prepared...

You want to have $54,000 in your savings account 5 years from now, and you're prepared to make equal annual deposits into the account at the end of each year. If the account pays 7.3 percent interest, what amount must you deposit each year? Multiple Choice $10,800.00 $3,941.97 $9,334.06 $3,942.02 $13,155.56

In a randomized control trial, if the participant and the physician/researcher don’t know to which group...

In a randomized control trial, if the participant and the physician/researcher don’t know to which group the participant is assigned, but the data analyst does, we say the study is... a) not blinded b) blind c) double blind d) triple blind

Suppose that the market for rutabagas (in case you don’t know, it is a root vegetable...

Suppose that the market for rutabagas (in case you don’t know, it is a root vegetable that’s also known as Swedish Turnip) is competitive. The demand for rutabagas is Q = 2, 000 − 100P and the supply of rutabagas is Q = −100 + 200P. (a) (10 points) Suppose that Governor Sloop imposes a $2 per unit tax to be paid by consumers. Who bears the statutory incidence of the $2 per unit tax? Who bears the economic incidence...

Question

You have prepared 10 types of treats for your 5 cats. You don’t know which treat...

Solutions

Expert Solution

Related Solutions

You want to know if, on average, households have more cats or more dogs. You take...

1. You want to know if, on average, households have more cats or dogs. You take...

1. If you don’t know where you are going ‘’all roads lead to your destination’’ Discuss...

1. How could you ensure your medical office is prepared to treat someone who is deaf?...

Suppose that a batch of 130 items actually contains 10 faulty items (but we don’t know which ones are faulty).

Did you know that diesel engines don’t have spark plugs? The cycle that diesel engines undergo...

Did you know that diesel engines don’t have spark plugs? The cycle that diesel engines undergo...

You want to have $54,000 in your savings account 5 years from now, and you're prepared...

In a randomized control trial, if the participant and the physician/researcher don’t know to which group...

Suppose that the market for rutabagas (in case you don’t know, it is a root vegetable...