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Ronch [10]
1 year ago
14

A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled

and tested, by being used for one month, under standardized conditions that mimic typical operating conditions. Calculate the probability that the number of tested rafts that develop cracks is no more than 3. Round your answer to four decimal places.
Mathematics
1 answer:
rewona [7]1 year ago
8 0

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

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2 years ago
Find the values of x and y.​
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Answer:

value of x = 26

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Step-by-step explanation:

here's the solution : -

=》

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3 years ago
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Answer:

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Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

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8 0
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Step-by-step explanation:

Hopefully this helps!

7 0
2 years ago
Read 2 more answers
Need help with this
m_a_m_a [10]

Answer:

4.3

Step-by-step explanation:

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Hope this helped!❤

3 0
3 years ago
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