Question

Four patients have made appointments to have their blood pressure checked at a clinic. As each patient is selected, he/she is tested. If he/she has high blood pressure, a success (S) occurs; if he/she does not have high blood pressure, a failure (F) occurs. Let x be the number of persons who have high blood pressure (i.e., Let x represent the number of successes among the four sampled persons).

1.             How many outcomes should you have from this probability experiment?
2.             Construct a tree diagram for the number of persons who have high blood pressure
3. List all outcomes from this probability experiment.
4.             What are the possible values for x?
5.             Construct the probability distribution of x.
6. Determine whether the table represents a discrete probability distribution. Explain
7. Find Px=1=
8.             Find Px≤3=
9.               Find Px>2=
10.              Find Px≥2=
11.    Find Px=4=
12. Compte the mean, μ=
13. Compute the variance, σ2=
14. Compute the standard deviation, σ=

Answer 1

(Since there are more than 4 parts i will answer first 4 as per policy)

a.

x is no. of people from 4 people who have high blood pressure

x can be 0,1,2,3,4

so no. of outcomes = 5

b.

tree diagram :

c.

list of outcomes :

(P1)(P2)(P3)(P4) :

SSSS

SSSF

SSFS

SSFF

SFSS

SFSF

SFFS

SFFF

FSSS

FSSF

FSFS

FSFF

FFSS

FFSF

FFFS

FFFF

d.

possible values of x

x is no . of people with high blood pressure which could be from 0 to 4 in a sample of 4 people

therefore,

possible values of x = 0,1,2,3,4

(please UPVOTE)