What proportion of population values are greater than or equal to 2? a. 0 b. 1/6

Question

What proportion of population values are greater than or equal to 2? a. 0 b. 1/6 c. 2/6 d. 5/6 e. 1 What is the probability of getting a value of z = 6 in a draw from this population? a. 2/6 b. 3/6 c. 5/6 d. 4/6 e. 0 Each compute chip on a production line is either defective or Not-defective. The probability of a chip being Defective is constant independent of others. Which random variable represents the number of Defective chips in a random sample of found size from this production line? a. Geometric random variable b. binomial random variable c. Negative Binomial random variable d. Hypergeometric random variable e. Poisson random variable 1000 dealers provide a particular machine part. Half of the dealers carry both 2017 and 2016 catalog items in stock and the other half carry only 2016 catalog items in stock. Which random variable represents the number of dealers that carry both 2017 and 2016 catalog items in a random sample of 100 dealers, sampled without replacement? a. Bernoulli random variable b. Binomial random variable c. negative Binomial random variable d. Hypergeometric random variable e. Poisson random variable A car passes an airbag safety test it its airbag inflates in less than t seconds. The probability of a car having an airbag that inflates in less than t seconds is 0.8, independent of other cars. What is the probability of observing 5 cars tailing this airbag safety test before the first car passes the test?

Explanation / Answer

Since questions 5,6,7 & 8 have been answered, I am posting the solution for question #9.

#9 The probability of passing the test = 0.8; the probability of failing the test = 0.2

Probability of first 5 cars failing the test and 6th car passing the test = 0.2 X 0.2 X 0.2 X 0.2 X 0.2 X 0.8 = 0.000256

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