The following table contains the probability distribution for X = the number of

Question

The following table contains the probability distribution for X = the number of cars left in the parking lot after closing time at the mall.

X

0

1

2

3

P(X)

0.20

0.40

0.30

0.10

>> The probability of two or less cars left is ________.

>>   The mean or expected value for the number of cars left is ________.

Indicate which of the following represent independent events. Explain briefly.

A) Prices of houses on the same block.

B) Successive measurements of your heart rate as you exercise on a treadmill.

C) Measurements of the heart rates of all students in the gym.

X

0

1

2

3

P(X)

0.20

0.40

0.30

0.10

Explanation / Answer

Ans:

Probability of two or less cars left =P(x<=2)

=P(x=0)+P(x=1)+P(x=2)

=0.2+0.4+0.3=0.9

Mean or Expected number of cars left=0*0.2+1*0.4+2*0.3+3*0.1

=0+0.4+0.6+0.3

=1.3

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