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alexira [117]
3 years ago
14

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, 12% 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
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

probability that his sample will contain at least one damaged apple (P) = 0.7215

Step-by-step explanation:

Given:

Probability of damaged apples (p) = 12% = 0.12

number of samples (n) = 10

Consider,

x- number of apples damaged.

Using Binomial distribution formula:

P(x) = (nCx) (P)^x (1-p)^(n-x)

To find the probability that his sample will contain at least one damaged apple:

P(x≥1) = 1 - P(x<1)

          = 1 - P(x=0)

          = 1 - 10C_0 (0.12)^0 ( 1-0.12)^(10)

P(x≥1)  = 0.7215

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<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.

Let's suppose x hours Zoey can expect from the tablet on a full battery charge.

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brainly.com/question/8011401

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Hope this helped :)
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