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Ostrovityanka [42]
2 years ago
9

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F

ind the probability that at least one egg is cracked. Write the entire decimal answer.
Mathematics
1 answer:
musickatia [10]2 years ago
5 0

Answer:

P(X \geq 1)=1-P(X

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 1)=1-P(X

And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

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The greatest common factor of all the coefficients is of 8.

<h3>What is the greatest common factor?</h3>

The greatest common factor between multiple terms is the largest value for which all terms are divisible.

In this problem, the equation is:

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The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:

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There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:

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You can learn more about the greatest common factor at brainly.com/question/26140769

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Answer:

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Answer:

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The rest of the question is: There are 75 pills in the batch.

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