A review of emergency room records at hospital was performed to determine the probability distribution of the number of patients (X) entering the emergency room during a 1-hour period. The following table lists this probability distribution. x=x 0 1 2 3 4 5 6 Pr (x=x) 0.2725 0.3543 .2303 * 0.0324 0.0084 0.0023 Determine the probability that the number of patients entering the emergency room during a randomly selected 1-hour period is (a) Find the value of ‘*’.  (b) Determine P(1 ≤ ? < 4).  (c) Find E(X).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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QUESTION 1 
A review of emergency room records at hospital was performed to determine the probability
distribution of the number of patients (X) entering the emergency room during a 1-hour period. The
following table lists this probability distribution.

x=x 0 1 2 3 4 5 6
Pr (x=x) 0.2725 0.3543 .2303 * 0.0324 0.0084 0.0023


Determine the probability that the number of patients entering the emergency room during a randomly
selected 1-hour period is
(a) Find the value of ‘*’. 
(b) Determine P(1 ≤ ? < 4). 
(c) Find E(X).

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