Question

An engineering firm with a good track record is known to have a 40% success rate in
getting state-government construction contracts. In a recent year, the firm submitted bids
on eight construction projects to be funded by the state-government. The bids for
different projects are assessed independently of each other.
i) CHOOSE which of these probability distributions is most appropriate to describe a random variable X defined as "the number of approved state-government construction contracts bid by the engineering firm in the recent year". *
X~Poisson(8)
X~Po(3.2)
X~Binomial(8,0.4)
X~Negative Binomial(8,0.4)
X~Geometric(0.4)
ii) Using the random variable X in question 1(i), which of the following mathematical expressions indicates: the probability that the engineering firm will not get any state-government construction contracts that they have bid in the recent year? *
P(X=8)
P(X > 1)
1 - P(X=0)
P(X is at most 0)
iii) Hence, which of the following answers is correct for the probability that the firm will not get any state-government construction contracts that they have bid in the recent year? *
0.0168
0.0408
0.6866
0.3134
0.9832
Y~Hypergeometric(8,2,5)
Y~Negative Binomial(2, 0.0408)
Y~Geometric(0.6)
Y~Binomial(8, 0.6)
Y~Negative Binomial(2, 0.0168)
Y~Negative Binomial(2, 0.6)

Answer 1

IThis is the example of binomial distribution