# Continuous Random Variable

**Topics:**Random variable, Discrete probability distribution, Probability distribution

**Pages:**4 (694 words)

**Published:**June 4, 2013

STA

Individual Work unit-8

Section 6.1

8. a) The time it takes for a light bulb to burn out is a continuous random variable because the time is being measured. All possible results for the variable time (t) would be greater than > 0.

b) The weight of a T-bone steak is a continuous random variable because the weight of the steak is measured. All the possible results for the weight of the T-bone steak would be positive numbers making the variable weight (w) > greater than 0.

c) The number of free throw attempts before the first shot is made is a discrete random variable because every shot is attempt can be counted. Let (x) represent shot attempts, all the possible results of the value x would be x = 0, 1, 2, 3, 4

d) In a random sample of 20 people the number with type A blood is a discrete random variable because the people with type A blood are being counted. Let (x) represent people with Type A blood, all possible results of the value x would be x = 0, 1, 2

12. les; because Px=1 and 0≤Px ≤1 for all x.

16. No, because P x=1.25 ≠1.

20. a) This is a discrete probability distribution because the sum of the probabilities is 1 and the probabilities are between 0 and 1.

c) mx = x ∙Px=0 0.073+10.117+20.258+30.322+40.230=2.519=2.5. Or average the number of activities that at least one parent 6th – 8th grader is involved in is expected to be about 2.5.

d)

e)

Section 6.2

10. This is not a binomial experiment because there is no probability of success recorded.

30.

36. ?

Section 7.1

26. The center is at 5, m = 5. The distance to the inflection points is 2, 0 = 2.

30.

a)

9 11.5 14 16.5 19

b)

9 11.5 14 16.5 19

c) Interception 1: The probability is o.1151...

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