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Karolina [17]
3 years ago
15

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205

inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 205.3 inches? Round your answer to four decimal places.
Mathematics
1 answer:
lawyer [7]3 years ago
3 0

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750

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Answer:

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Step-by-step explanation:

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3 years ago
Let S be the universal set, where:
kolezko [41]

A' = {7,8,10}

B' = {1,3,59}

Given,

Let S be the universal set, where:

S = {1,2,3,4,5,6,7,8,9,10}

Let sets A and B be subsets of S, where:

Set A = {1,2,3,4,5,6,9}

Set B = {2,4,6,7,8,10}

We need to find the elements in the set (A') and (B)'

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A compliment of a set D is denoted by D' or D bar.

It means the set contains all elements in the universal set U other than the elements in set D.

Example:

U = {1,2,3,4,5,6,7,8,9}

D = {1,2,3,4,5}

D' = {6,7,8,9}

Find A' and B'

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A =  {1,2,3,4,5,6,9}

B = {2,4,6,7,8,10}

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Thus,

A' = {7,8,10}

B' = {1,3,59}

Learn more about the complement of sets here:

brainly.com/question/20319548

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