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, 11% 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.

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Step-by-step explanation:

Given : The probability of the apples are damaged due to bruising, worms, or other defects : p= 0.11

The sample size : n= 10

Let x be the number of  apples are damaged due to bruising, worms, or other defects in the sample.

Using binomial probability formula :

The probability that his sample will contain at least one damaged apple will be :-

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

step-by-step explanation:

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