Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Find the Probability and prove that the given two events are mutually exclusive and independent or not.

A new postoperative procedure is administered to a number of patients in a large hospital. A researcher selected nurses and doctors and asked which procedure each person preferred. The results

are:

Group

Prefer new procedure

Prefer old procedure

No preference

Row total

Nurses

100

80

20

200

Doctors

50

120

30

200

Column total

150

200

50

400

 

Use the following notation for the various events: N = Nurse, D = Doctor, PN = prefer new procedure, PO = prefer old procedure, NP = no preference. Find out the following probabilities for a person selected at random from this sample of 400 people.

1. P(N), P(D), P(PN)
2. P(N, given PN), P(D, given PN)
3. P(PO, given N), P(PO, given D)
4. P(N and PN), P(D, and NP)
5. P(PN or NP)
6. Are the events PN = prefer new procedure and NP = no preference mutually exclusive? Why or why not?
7. Are the events PN = prefer new procedure and NP = no preference complementary events? Why or why not?
8. Are the events N = nurse and PN = prefer new procedure independent? Why or why not? Validate using the formula that is used to show if two events are independent or not.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M923166

Have any Question? 


Related Questions in Statistics and Probability

We are in possession of two coins one which is fairly

We are in possession of two coins, one which is fairly balanced and turns up heads with probability 1/2, the other is weighted such that heads shows up with probability 3/4 and tails with probability 1/4. The two coins a ...

Cards are drawn from a standard 52-card deck after each

Cards are drawn from a standard 52-card deck. After each card is drawn, it is put back in the deck and the cards are reshuffled so that each card drawn is independent of all others. Let be the random variable that repres ...

Quantitative business analysis final exam-section 1 true or

Quantitative Business Analysis Final Exam- Section 1: True or false Q1. In the t distribution or student t distribution, standard deviation controls the shape of the curve. In addition, if the degree of freedom is greate ...

For an alphabet consisting of 26 characters find the

For an alphabet consisting of 26 characters, find the following: (a) The number of possible 4-letter sequences (words) where the same letter can appear in the word more than once. (b) The number of possible 4-letter sequ ...

Two random variables are jointly gaussian with means of

Two random variables are jointly Gaussian with means of μ X =2, μ Y =-3 variances of σ 2 X =1, σ 2 Y =4, and a covariance of Cov(X,Y)= -1. (a) Write the form of the joint PDF of these jointly Gaussian random variables. ( ...

Let wnnbspbe an iid sequence of zero-mean gaussian random

Let W n  be an IID sequence of zero-mean Gaussian random variables with variance    Define a discrete-time random process   where   is a constant. (a) Find the mean function  (b) Find the autocorrelation function,

Consider two discrete random variables and which take on

Consider two discrete random variables and which take on values from the set {1,2,3,....,k}. Suppose we construct an n*n matrix P whose elements comprise the joint PMF of the two random variables. That is, I is the eleme ...

An inventory model - a hot dog vendor operates a stand

An Inventory Model - A hot dog vendor operates a stand where the number of hot dogs he sells each day is modeled as a Poisson random variable with a mean value of 100. Let  represent the number of hot dogs the vendor has ...

A sequence of zero mean unit variance independent random

A sequence of zero mean unit variance independent random variables,   are input to a filter that produces an output sequence according toC For initialization purposes taken to be zero. (b) Now let the variance of the  Fi ...

In a certain communication system bits are encoded into

In a certain communication system, bits are encoded into blocks of length 128 bits. Error correction techniques are used such that the block will be decoded correctly as long as no more than 7 of the 128 bits are receive ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate