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.