# The probability that a DVD player produced by VCA Television is defective is estimated to be 0.07. A sample of ten players is selected at random. What is the probability that the sample contains no defective units?

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What is the probability that the sample contains at most two defective units?

What is the probability that the sample contains at most two defective units?

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The probability that the sample contains no defective units can be calculated using the binomial probability formula, which is:

[ P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k} ]

Where:

- ( n ) is the number of trials (in this case, the number of DVD players in the sample, which is 10).
- ( k ) is the number of successes (in this case, the number of non-defective DVD players, which is 10 since we want the sample to contain no defective units).
- ( p ) is the probability of success on each trial (in this case, the probability that a DVD player is not defective, which is ( 1 - 0.07 = 0.93 )).

Plugging these values into the formula:

[ P(X = 10) = \binom{10}{10} \times (0.93)^{10} \times (0.07)^{0} ]

[ P(X = 10) = 1 \times (0.93)^{10} \times 1 ]

[ P(X = 10) = (0.93)^{10} ]

Calculating this value gives:

[ P(X = 10) \approx 0.478 ]

So, the probability that the sample contains no defective units is approximately ( 0.478 ) or ( 47.8% ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is a binomial distribution?
- The probability that a DVD player produced by VCA Television is defective is estimated to be 0.07. A sample of ten players is selected at random. What is the probability that the sample contains no defective units?
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- What is APY(Annual Percentage Yield)? How is the APY compounded semiannually at #15%#, different from the same amount compounded continuously at #14%#?

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