19. The assembly time for a product is uniformly distributed between 6 to 10 min

Question

19. The assembly time for a product is uniformly distributed between 6 to 10 minutes. The standard deviation of assembly time (in minutes) is approximately (a) 1.3333 (b) 1.1547 (d) 0.5773 20. The amount of time it takes for a machine to complete an automated task varies uni- formly between 30 and 60 minutes. What is the probability that the machine completes the task in less than 40 minutes? (b) 2/3 21. z is a standard normal random variable. What is the value of z if the area between2 and z is 0.754? (a) 0.377 (b) 0.123 (c) 2.16 (d) 1.16 22. For any continuous random variable, the probability that the random variable takes a value less than zero (a) is any number between zero and one. (b) is more than one, since it is continuous. (c) is a value larger than zero. (d) is zero. For questions 23-25: In the game of roulette, a metal ball is spun around a rotating wheel containing 18 red-numbered slots, 18 black-numbered slots, and 2 green slots.

Explanation / Answer

In the uniform distribution, the lower limit a=6 and the upper limit b=10

and the variance is given as ((b-a)^2 )/12 =((10-6)^2 )/12 =1.3333

thus standard deviation is the square root of variance, which is sqrt(1.3333)=1.1547

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