For questions 10-12 use the following information. The error in the voltage (mea

Question

For questions 10-12 use the following information. The error in the voltage (measured as mV) of an electric motor follows standard normal distribution. What the probability distribution. is that error in the voltage is negative? A. 0 b. 0.5 C. 0.75 d. 0.25 e. 1 What is your qualitative assessment about the probability that error in the voltage is exceeds 10mv? a. Close to 0 b. 0.5 c. Close to 1 d. s random, it can be anywhere between 0 and 1 e. Exactly 1 What is the probability that the that error in the voltage is greater than 0mv but smaller than 2mv? a. Close to 0.68 b. Close to 0.95 c. Close to 0.32 d. Close to 0.475 e. Close to 1 For questions 13 and 14 use the following information: X is a continuous uniform random variable on the interval 0, 1]. Find P(X lessthanorequalto 0).

Explanation / Answer

10.

Since error in voltage follows a standard normal distribution in which 50% area lies before mean (x<m=0) and for rest 50% lies after mean (x>m=0).

Hence probability of error in voltage is negative = 50% = 0.5

11.

In standard normal distribution 99.7% lies between -3 and +3.

Hence probability of error in voltage exceed 10 mV = Close to 0

12.

Using normal distribution table

P(0<z<2)=0.4772 = close to 0.475

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