The probability that it is less than 11.9 inches long will be 0.11304.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.
If one item is chosen at random.
Then the probability that it is less than 11.9 inches long will be
Then the z-score will be
z = (11.9 – 14.2) / 1.9
z = –1.21
Then the probability will be
P(x < 11.9) = P(z < –1.21)
P(x < 11.9) = 0.11304
More about the z-score link is given below.
brainly.com/question/15016913
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The answer is 0.23 or 23/100
22. Suppose that the teacher started recording on a digital camera with an hour available.
She gives 15 minutes introduction. Thus 60 minutes – 15 minutes is 45 minutes.
She still have 45 minutes remaining, now the question is how many minutes will remain if she uses 1 minutes per students.
Since the number of students is not given. It depends on how many students will be there. For example 25 students thus that’s equals to 25 minutes also. So she has a 20 minutes remaining.,