Suppose that stephen is the quality control supervisor for a food distribution company. a shipment containing many thousands of apples has just arrived. unknown to stephen, 15% of the apples are damaged due to bruising, worms, or other defects. if stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. give your answer as a decimal precise to at least four decimal places.

0.8031

Step-by-step explanation:

Binomial distribution:

For a binomial variable x,

The probability of getting success in x trials =

, where n = Total trials .

p= Probability of getting success in each trial.

For the given situation , we take x as the number of damaged apple .

Given : The proportion of damaged apples : p=0.15

n= 10

Then, the probability that his sample will contain at least one damaged apple.  :-

Hence, the required probability = 0.8031

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.