Probability of Truckload of Apples Being Accepted

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SUMMARY

The probability of a truckload of apples being accepted, despite 8% of the apples being bruised, can be calculated using the binomial distribution. In this scenario, 175 apples are examined, and the acceptance threshold is set at 4% bruised apples, which translates to a maximum of 7 bruised apples. Using the binomial probability formula, the probability of finding 7 or fewer bruised apples out of 175 can be determined, leading to the conclusion that the truck may still be accepted even with a higher bruised percentage.

PREREQUISITES
  • Understanding of binomial distribution
  • Familiarity with probability theory
  • Basic statistical analysis skills
  • Knowledge of the binomial probability formula
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  • Study the concept of Type I and Type II errors in hypothesis testing
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Students in statistics, quality control analysts, and anyone involved in agricultural product inspection and acceptance criteria.

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HELP!

When a truckload of apples at a packing plant, 175 are randomly examined for bruises. The whole truck will be rejected if more than 4% of the apples from the 175 are bruised. Suppose that in fact 8% of the apples on the whole truck are bruised. What is the probability the truck will be accepted anyway?
 
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i didnt try anything i do not know how to find the probability can u help me please?
 

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