Question

In: Statistics and Probability

Three patients have made appointments to have their blood pressure checked at a clinic. As each...

Three 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 three sampled persons).

a. How many outcomes should you have from this probability experiment?

b. Construct a tree diagram for the number of persons who have high blood pressure.

c. List all outcomes from this probability experiment.

d. What are the possible values for x?

e. Construct the probability distribution of x.

f. Determine whether the table represents a discrete probability distribution. Explain

g. Find P(x=1)=

h. Find P( x ≤ 2)=

i. Find P(x >2)=

j. Find P (x ≥ 2)=

k. Find (x=0)=

l. Compute the mean,

m. Compute the variance,

n. Compute the standard deviation,

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