Multiple choice . Which of the following is not a discrete random variable? A. T

Question

Multiple choice . Which of the following is not a discrete random variable? A. The number of times a light changes to red in a 1o-minute cycle. B. The number of contestants that ran 1 mile in under 4 minutes. C. The number of defects in a sample selected from a population of 100 products. The time it takes to count the number of criminals found in a five-mile radius of a neighborhood. D. 2. If the number of surface nonconformities on a specific size of metal piece is the disc rete random variable in question, then the appropriate probability distribution c size metal sheet containing 3 defects is that can describe the probability of a specif given most likely by the????????????d thedistribution. A. Binomial B. Poisson C. Exponential D. Both Binomial and Poisson 3. Which of the following is a valid probability value for a discrete random variable? A. 0.2 B. 1.01 C.7 D. All of these 4. A random variable is said to be discrete if A. Its outcomes can only be a from set of specific values. B. Its outcomes can assume any real number within a given interval. C. The rules of probability apply D. It can be represented graphically 5. The requirement that the probability of success remains constant from trial to trial i a property of the distribution. A. Binomial Poisson C. Hypergeometric D. Continuous 6. Ifn 15 and p 3, then the standard deviation of the binomial distribution is: A. 4.5 B. 3.15 C. 1.775 D. 15 E. 3

Explanation / Answer

1)

D- Time taken is a continuous random variable and it can take any value

Contrary to this, all others are discrete numbers and so the answer will be (D)

2)

It can be modelled by both binomial and Poisson

The outcomes are limited and so are the trails

3)

Probability should be between 0 and 1

So, answer will be (A)

4)

A discrete RV can have only a few set of outcomes

(B) applies to a continuous RV

(C) and (D) apply to both

So, answer will be (A)

5)

All outcomes are independent

This is the property of a Binomial distribution

So, answer will be (A)

6)

n = 15

p = 0.3

q = 0.7

SD = sqrt(n*p*q) = sqrt(15*0.3*0.7)= 1.77

That will be answer (C)

Hope this helps and Please don't forget to rate the answer :)

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