How do find these values with the Z table.

Part 3: Estimating Probability Next, we will look more into the standard normal curve and what percentiles and probabilities are associated with the distribution and apply the normal distribution to a particular context. Cows produce on average 95Kg of Methane gas per year with a standard deviation of 12.5kg. Methane is a greenhouse gas like carbon dioxide (C02). However, the negative effect on the climate of Methane is 23 times higher than the effect of C02. Therefore, the release of about 100 kg Methane per year for each cow is equivalent to about 2300 kg C02 per year. Assuming the methane production of cows is approximately normally distributed with a mean of 95 kg/year and a standard deviation of 12.5 kg/year, answer the following. Cattle Methane (Kngea .... LO N . Ln, m E L o C 'D 12. What proportion of cows produce lOOKg of methane or less? The proportion of cows that produce 100 Kg of methane or less is about 65%. 13. What proportion of cows produce within one standard deviation of the mean methane production? The proportion of cows produce within one standard deviation of the mean is 68%. 14. Certain regions have methane levels between 82.5 and 10?.5 kg/year. What is the probability that a city in this region produces between 82.5 and 10.? kg/year? 15. What proportion of cows produce more than 150Kg of methane? l6. Compute the Z-scores for lOOKg and 150Kg. Recall the Z-score is a rescaling 1?. We would like to ask questions like \"How much methane would a cow have to produce in a year to be in the top 10% of methane producers?\" when we know we have a normal distribution and know the mean and stande deviation. In other words, let X be the random variable associated to cow methane production as described above. We pick a cow at random, measure its methane production, and that is X. We would like to find a xed value x such that