Question

In: Statistics and Probability

Suppose that among a group of sick people 10 have a headache (h), 10 have a...

Suppose that among a group of sick people
10 have a headache (h),
10 have a stomach ache (s), and
10 have a fever (f).
If
4 have (h) and (s),
4 have (s) and (f),
4 have (h) and (f), and
1 person has all three symptoms,
then there were 19 people in this group who had at least one of the three symptoms.

True or False?

Expert Solution

True, There were 19 people in this group who had at least one of the three symptoms.

Explanations.

Let H be the set of all people having headache. Given number of people belongs to set H is 10, n(H)=10

Let S be the set of all people having stomach ache. Given number of people belongs to set S is 10, n(S)=10

Let F be the set of all people having fever . Given number of people belongs to set F is 10, n(F)=10

Also given

number of people belonging to sets H and S=4,

number of people belonging to sets S and F=4,

number of people belonging to sets H and F=4,

Finally 1 person has all three symptoms, means

Then is the group of all people having atleast one of the three symptoms.

Then number of people in the group having at least of the symptoms is

orchestra answered 2 years ago

Suppose Bob has income of $50,000. There is a 10% chance that Bob will get sick...

Suppose Bob has income of $50,000. There is a 10% chance that Bob will get sick and lose half of his income. Suppose Bob’s income-utility relationship is given by the following equation, where I is Bob’s income. U(I) = √2I Use the facts above to calculate the following: a) The premium and payout for a full and fair insurance contract. b) The max premium (i.e. the most Bob would ever be willing to pay for insurance)

Suppose G is a group and H and H are both subgroups of G. Let HK={hk,...

Suppose G is a group and H and H are both subgroups of G. Let HK={hk, h∈H and k ∈K} a.give a example such that |HK| not equal to |H| |K| b. give a example to show f :HK →H ⨯K given by f(hk) = (h,k) may not be well defined.

2. When people are sick they often have very little idea of what is wrong with...

2. When people are sick they often have very little idea of what is wrong with them or what the most promising treatment is. They may place themselves under a physician's care in the belief that the physician is better qualified to make decisions regarding the proper course of treatment. The physician acts as an agent for the patient. For many treatments the physician offers the only access to the treatment; e.g., prescription drugs and surgery. a. Are there any...

The Physician: When people are sick, they often have very little idea of what is wrong...

The Physician: When people are sick, they often have very little idea of what is wrong with them or what the most promising treatment is. They may place themselves under a physician's care in the belief that the physician is better qualified to make decisions regarding the proper course of treatment. The physician acts as an agent for the patient. For many treatments the physician offers the only access to the treatment; e.g., prescription drugs and surgery. Based on the...

Suppose that the birthdays of different people in a group of n people are independent, each...

Suppose that the birthdays of different people in a group of n people are independent, each equally likely to be on the 365 possible days. (Pretend there's no such thing as a leap day.) What's the smallest n so that it's more likely than not that someone among the n people has the same birthday as you? (You're not part of this group.)

PROBLEM 6. Suppose that the birthdays of different people in a group of n people are...

PROBLEM 6. Suppose that the birthdays of different people in a group of n people are independent, each equally likely to be on the 365 possible days. (Pretend there's no such thing as a leap day.)What's the smallest n so that it's more likely than not that someone among the n people has the same birthday as you? (You're not part of this group.)

Among a group of ten people, two are NDP, three are Liberal and four are Conservative....

Among a group of ten people, two are NDP, three are Liberal and four are Conservative. Three of the eight are selected at random, without replacement. Find the joint pmf of the random vector (X; Y ), where X denotes the number of NDP selected and Y denotes the number of Liberals selected. Be sure to specify its range. The final answer is supposed to be: ((2choose x)(3choose y)(4 choose 3-x-y))/(10 choose 3) please show the steps and necessary explanations...

A researcher hypothesized that people who exercise regularly are not sick as often as people who...

A researcher hypothesized that people who exercise regularly are not sick as often as people who don’t exercise regularly. She randomly selected a group of exercisers and a group of non-exercisers and recorded the number of sick days they took of work for one year. The data are recorded below. Is there support for her hypothesis, α = .05? Non-exercisers Exercisers 6 7 3 5 8 12 2 6 9 8 9 4 Test the hypothesis using the 5-step procedure. (22 points) Calculate the 95% confidence interval. (4 points) Calculate and...

The percentage of people in a population that get sick with a particular disease is called?...

The percentage of people in a population that get sick with a particular disease is called? Cases of an infectious disease affect a large population, beyond the localized area where it first appeared is called? Random mutations in a microbe lead to small alterations in the protein sequence of a pilus is called? A disease occurs naturally in a particular geographic location is called? A pathogen that can be used for bioterrorism is called? The disease that results when an...

Suppose that there are n people in a group, each aware of a diﬀerent secret no...

Suppose that there are n people in a group, each aware of a diﬀerent secret no one else in the group knows about. These people communicate by phone; when two people in the group talk, they share information about all secretes each knows about. For example, on the ﬁrst call, two people share information, so by the end of the call, each of them knows about two secretes. The gossip problem asks for the number of phone calls that are...