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The probability distribution table at...

The probability distribution table at the right is of the discrete random variable x representing the number of patients waiting outside of a doctor's office. Answer the following:

x P(X=x)

(a) Determine the value that is missing in the table. (Hint: what are the requirments for a probability distribution?) 0 0.35

1 0.24

2 0.11

(b) Find the probability that x is less than 2 , that is find P(x ≤ 2). 3

4 0.07

(c) Find P(x > 3). Describe what the resulting value represents within the given context.

(d) Find the mean μ (expected value) and standard deviation σ of this probability distribution.

(a) What is meant by the term "expected value"?

(b) Suppose the expected value of a game of chance is -$2.75. Does this mean that every time one plays this game, she will lose $2.75? Explain your answer briefly.

x P(X=x)

(a) Determine the value that is missing in the table. (Hint: what are the requirments for a probability distribution?) 0 0.35

1 0.24

2 0.11

(b) Find the probability that x is less than 2 , that is find P(x ≤ 2). 3

4 0.07

(c) Find P(x > 3). Describe what the resulting value represents within the given context.

(d) Find the mean μ (expected value) and standard deviation σ of this probability distribution.

(a) What is meant by the term "expected value"?

(b) Suppose the expected value of a game of chance is -$2.75. Does this mean that every time one plays this game, she will lose $2.75? Explain your answer briefly.

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