A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 49 aspirin tablets from a shipment and to accept the whole shipment if there is only one or none that​ fail the required ingredient specifications for aspirin. Suppose that a recent shipment of 6000 aspirin tablets actually has a 2% rate of​ defects, what is the probability that this whole shipment will be​ accepted?

A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115 boxes needs to be transported via this semi-truck. Research has shown that the weights of boxes for this type of cargo have a distribution that has a population mean weight of 125 pounds and a population standard deviation of 20 pounds. Based on this information, what is the probability that all 115 boxes can be safely loaded into the semi-truck and transported?

In a genetics experiment on​ peas, one sample of offspring contained 436 green peas and 373 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was​ expected?

In a genetics experiment on​ peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was​ expected?

A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…

A pharmaceutical company receives large shipments of ibuprofen tablets and uses sampling plan to accept the shipmemts. They randomly select and test 27 tablets, and accept the entire batch if there is at most one tablet that does not meet the required specifications.Suppose a particular shipment of ibuprofen tablets has a 4% rate of defects. What is the probability that this whole shipment will be accepted?

Physicians at a clinic gave what they thought were drugs to 890890 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5555 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.530.53. For the hypotheses that the proportion of improving is 0.530.53 against that it is >0.53>0.53, find the p-value. ?=p=

In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?

A survey of prison guards shows that their average starting hourly wage is $30 and the variance is 9. If prison guard is selected, what is the probability that his/her hourly wage will be greater than $27 but less than $35?