Vials of COVID-19 vaccine manufactured by JJH Virus Corporation must meet a J7 quality standard to be considered useful. Unfortunately, 3% of these vials do not meet the J7 standard. Whether one vial meets the standard is independent of whether any other vial meets the standard. Suppose MegaVaccinationSite places an order for 200 vials for use on a particular day. Let X be the number of these vials which fail to meet the J7 standard. Let p = the probability of a particular vial not meeting the J7 standard. a. What is the value of p as a decimal?  b. What is the probability that all 200 vials meet the J7 standard?  c. What is the probability that more than 10 of the vials fail to meet the J7 standard?  d. What is the probability that 5 ≤ X ≤ 7?  e. What is the expected value of X?  f. What is the expected value of X - 6 ?  g. What is the standard deviation of X - 6 ?  h. What is the probability that X is within 1.0 standard deviations of its expected value?  i. What is the expected value of 0.39X?  j. What is the variance of 0.39X?  Add any comments below.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.