Please note that this question consists of five parts. You m…

Please note that this question consists of five parts. You may use MINITAB to find a final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question. The probability is 0.32 that the gestation period of a woman will exceed nine months. In randomly chosen six human births, let X = Number of births in which gestation period exceeds nine months from these six births. 1. What is the distribution of X? Clearly state the parameters of the distribution. 2. Write down the probability mass function, for the distribution of X. That is, write the probability mass function specific for the random variable of interest in this problem, not just the general formula.  3. What is the probability that none in the sampled 6 human births gestation period exceeds nine months? 4. What is the probability that the gestation period exceeds nine months in at least one in the sampled 6 human births? 5. Would it be unusual if the gestation period exceeds nine months in all sampled 6 human births? Show any calculation relevant to your answer.

Below pie chart summarizes the sources of energy in the Unit…

Below pie chart summarizes the sources of energy in the United States and their corresponding percentages:  How many variables are summarized in this pie chart? What percentage of the sources of energy in the United States are from either Renewable Energy or Nuclear? What percentage of the sources of energy in the United States are other than Coal? If 1000 sources of energy were randomly chosen, what is the expected number from Petroleum?

Please note that this question consists of three parts. Show…

Please note that this question consists of three parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  In a used car dealership that post cars for sale, 85% of the cars have automatic transmission, 20% are all-wheel drive and 15% have both features. For a randomly chosen car from this website: Are having these two features:  “automatic transmission” and “all-wheel drive” mutually exclusive? Explain your answer.  What is the probability that it has neither features? What is the probability of having the feature of “all-wheel drive”, if it has “automatic transmission”?