URGENT

NEED ASAP. CHECK COMMENTS FOR ADDITIONAL INSTRUCTIONs

1. How many parameters are there in Weibull distribution?

a) 1

b) 2

c) 3

d) 4

Explanation: There are 3 parameters in Weibull distribution is the shape parameter also known as the Weibull slope, is the scale parameter, is the location parameter.

2. Weibull distribution gives the failure rate proportional to the power of time.

a) True

b) False

3. In Weibull distribution, if the value of equal us equal to one that indicates the failure rate is constant over time.

a) True

b) False

4. For greater than 1 there is an inflection point for Weibull function at ___________

a) (e1/-1)/e1/-1

b) (e1/-1)/e1/

c) (e1/-1)/e1/-2

d) (e1/-1)/e1/-5

5. How can we increase the height of the graph of Weibull distribution?

a) if is decreased while and are constant

b) if is increased while and are constant

c) if is constant while and are increased

d) if is constant while and are decreased

6. What is the effect of the threshold parameter on the graph of Weibull distribution?

a) graph shift to left or right

b) graph shifts up or down

c) height of the graph decreases

d) height of the graph increases

7. What is the mean time to failure if time to failure of a gadget follows Weibull distribution with scale = 1000 hours and shape = 0.5?

a) 2500 hours

b) 1500 hours

c) 3000 hours

d) 2000 hours

8. The mean time of failure is given by the equation __________

a) E(X) = (1/ 2 + 1)

b) E(X) = (1/ + 1)

c) E(X) = (1/ + 2)

d) E(X) = (2/ + 1)

9. The time to failure of an electric bulb follows a Weibull distribution with scale = 2000 hours and shape = 0.5. What is the probability that the electric bulb will last more than 4000 hours? What is the mean time to failure?

a) 25.3%

b) 24.3%

c) 26.3%

d) 27.3%

10. in Weibull distribution graph indicates _________

a) earliest time of failure

b) maximum time of failure

c) shape of the graph

d) scale of the graph