The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain major league player’s at-bats and corresponding hits were recorded for 200 consecutive games. The consecutive games span more than one season. Since each game is different, the number of at-bats and hits both vary. For this particular player, there were from zero to five at-bats. Thus, one can sort the 200 games into six categories:
Consider the games where the player had exactly four at-bats. A similar analysis can be done for each of the other at-bats category. Download the file titled Bats. It contains a scatter plot of the four at-bats number of hits versus frequency. To compare the results to the Binomial Distribution, complete the following:
Explain why the four at-bats is a binomial experiment.
Using the Bats scatter plot, construct a frequency distribution for the number of hits.
Compute the mean number of hits. The formula for the mean is .
Here, xi represent no. of hits (0, 1, 2, 3, 4) and fi is the corresponding frequency. Explain what the numerical result means.
From the frequency distribution, construct the corresponding probability distribution. Explain why it is a probability distribution. Then, use Excel to make a scatter plot of the probability distribution:
Select the two columns of the probability distribution. Click on INSERT, and then go to the Charts area and select Scatter. Then choose the first Scatter chart (the one without lines connecting).
Using the frequency distribution, what is the player’s batting average for four at-bats? In part 3, note that the numerator in the formula for the mean is the total number of hits. The total number of at-bats is the denominator of the formula for the mean multiplied by 4.
The Binomial Distribution is uniquely determined by n, the number of trials, and p, the probability of “success” on each trial. Using Excel, construct the Binomial Probability Distribution for four trials, n, and probability of success, p, as the batting average in part 5. Here is an explanation of the BINOM.DIST function (Links to an external site.)Links to an external site. in Excel.
For example, In Excel
represents the probability of 7 successes out of 15 (n) trials. The 0.7 is the probability of success, p.
Using the formula for the mean of the binomial distribution, what is the mean number of successes in part 6 up above?
In Excel, make a scatter plot for the binomial distribution. The instructions for making one are in part 4 up above.
Use the results up above to compare the probability distribution of four at bats and the Binomial Distribution. Compare the means in parts 4 and 6, too. If the probability distribution of 4 at bats and the Binomial Distribution differ, explain why that is so.
Depenalisation means drug use and possession convey lighter crook penalties, at the same time as drug deliver stays a criminal offence. A advantage of this framework is that drug deliver continues to be unlawful which might also assist in reducing the quantity of hashish that is supplied to customers. any other gain is that users are capable of use the drug with a lesser penalty which may deter a few customers. Conversely, because of the lesser penalty, customers may additionally use cannabis instead of a drug that has harsher consequences. this may be unfavorable to the government as they will be spending cash as a way to assist in imposing lighter consequences which include imparting drug training and remedy offerings. Decriminalisation outcomes in drug use and ownership now not carrying crook penalties but are changed with civil penalties. those who use or own tablets may additionally nevertheless be charged mainly if fines are not paid or attending checks are not complied with. The supply of medicine continues to be a criminal offence. Many politicians are worried that the decriminalisation of hashish might ‘send the incorrect message.’ moreover, researches have supported this argument, arguing that ‘putting off criminal penalties would cause accelerated drug use, with harms falling toughest at the disadvantaged groups which might be already the maximum broken through drug-related problems.’ Conversely, research undertaken in Sweden has proven that ‘due to decriminalisation, drug use does no longer boom amongst existing or new users, however reduces demand on, and the value of the criminal justice gadget. There may be discounts in intricate drug use, drug-associated HIV and AIDS, deaths and reduced social expenses of responding to pills. however, the manner decriminalisation is carried out might also have an effect on the extent of net-widening that is an growth in the variety of human beings arrested or charged. Legalisation: the use and supply of cannabis is legal. about one in 4 Australians (26%) believe that the recreational use of cannabis need to be prison. the biggest chance is that offering the drug is legalised. This makes it hard to manipulate the dangers and harms related to hashish. Many people can also abuse the legalisation of hashish and treat it as a “gateway drug” to harsher and riskier capsules. it can result in decreasing black market and crook networks related to hashish drug trading, shift in responses and funding from the police and the criminal justice gadget closer to heath, treatment and schooling packages. The taxes raised from the legalisation of hashish will be used for the benefit of the network. via legalising hashish there may be a significant growth in drug use, primarily based on the harms and prices related to criminal drugs which include alcohol and tobacco. recommendation it is vital that Governments recognises that they can not strictly manage the behaviour of citizens. In response to the conflict on tablets, the authorities desires to do not forget ending ‘the criminalization, marginalization and stigmatization of those who use pills however who do no damage to others’ and ‘encourage experimentation by way of governments with models of prison regulation of medicine to undermine the strength of organized crime and shield the fitness and security in their citizens.’ The civil penalty relevant to minor hashish offences creates equity and justice as it is a more proportionate response. As a result, criminal justice resources may be freed up and civil penalties will generate a sales for the NSW government. ‘The best manner to gain desires of rational drug policy is to replace black market for capsules with form of legal availability beneath quite regulated system’, which means the NSW authorities should adopt the non-industrial version that's popular in Uruguay, and lets in the authorities to preserve manipulate over the production and sale of cannabis. There have to be a minimal age buy along with 21 in the case of Colorado or 18 in Uruguay. The drug should be purchased via pharmacies, with there being a limit on how a great deal may be purchased in step with month in addition to the purity, what bureaucracy it can be sold, the training and duties of providers, training approximately the drug>GET ANSWER