Continuous Probability DistributionsNow, let’s say that QC decides to sample one more tablet. This time, it selects a tablet from Batch Y4. Based on previous knowledge, you know that Batch Y4 has a mean paracetamol level of 505 mg, and its standard deviation is 25 mg. This time, QC wants to check both the upper limit and the lower limit for the paracetamol level.What is the probability that the tablet selected by QC has a paracetamol level between 450 mg and 550 mg?

Continuous Probability DistributionsNow, the company’s QC (Quality Control) department comes and selects a tablet at random from Batch Z2. It is interested in finding if the paracetamol level is above 450 mg or not.What is the probability that the tablet selected by QC has a paracetamol level above 450 mg?

Cumulative Probability DistributionsThe regulatory authority selects a random tablet from Batch Z2. Based on previous knowledge, you know that Batch Z2 has a mean paracetamol level of 510 mg, and its standard deviation is 20 mg.What is the probability that the tablet that has been selected by the authority has a paracetamol level below 550 mg?

Let’s say you work as an analyst at a pharma company which manufactures an antipyretic drug (tablet form) with paracetamol as the active ingredient. The amount of paracetamol specified by the drug regulatory authorities is 500 mg with a permissible error of 10%. Anything below 450 mg would be a quality issue for your company since the drug will be ineffective, while above 550 mg would be a serious regulatory issue.Question 2/3MandatoryContinuous Probability DistributionsNow, the company’s QC (Quality Control) department comes and selects a tablet at random from Batch Z2. It is interested in finding if the paracetamol level is above 450 mg or not.What is the probability that the tablet selected by QC has a paracetamol level above 450 mg?

The monthly sales of packaged Milo drinks in School of Business canteen follows the normal distribution with a mean of 1,200 packages and a standard deviation of 225 package. The drink stall operator, Mr. Lim would like to establish the amount of inventory levels that he should carry such that there is only a 5% chance of running out of stock. What should the inventory level be set for the packaged milo drinks such that there is only 5% of stock-out?

he restaurant manager is testing the bartender's ability to pour 45 mL of spirits correctly into a mixed drink. The manager has the bartender pour water into 12 shot glasses to test their ability to pour the correct amount of spirits: 48 45 44 43 46 47 42 46 47 45 47 49 Note: The data appears to be approximately normally distributed. Test the bartender's ability to pour 45 mL at the 5% level of significance. T-Distribution Table a. Calculate the sample mean and standard deviation. x̄ = 45.750 Round to three decimal places if necessary s= 0.000 Round to three decimal places if necessary b. Calculate the test statistic. t= 0.000 Round to three decimal places if necessary c. Determine the critical value(s) for the hypothesis test. -2.201 ×2.201 × + Round to three decimal places if necessary d. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject