The following table lists the probability distribution of the number of patients entering the emergency room during a 1-hour period at a local hospital Use the table to find the following probabilities a)P( X=1) b)P(X ≥3) c)P(X <2)

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The following table lists the probability distribution of the number of patients entering the emergency room during a 1-hour period at a local hospital

Use the table to find the following probabilities

a)P( X=1)

b)P(X ≥3)

c)P(X <2)

Patients per
hour: (X)
1
2
4
5
Probability:
P(X)
0.27
0.35
0.18
0.12
0.06
0.02
3.
Transcribed Image Text:Patients per hour: (X) 1 2 4 5 Probability: P(X) 0.27 0.35 0.18 0.12 0.06 0.02 3.
Expert Solution
Step 1

Introduction:

The random variable of interest is X, which denotes the number of patients entering the emergency room during a 1-hour period at a local hospital. The values of X are 0, 1, 2, 3, 4, and 5.

The corresponding probabilities, P (X) are given.

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