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Norma-Jean [14]
2 years ago
9

Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so t

hat the
following is true.
P(-C≤Z≤c)=0.9715
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Mathematics
1 answer:
IgorLugansk [536]2 years ago
4 0

Using the normal distribution, considering it's symmetry, it is found that the value of C is of 2.19.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The standard normal distribution has mean and standard deviation given, respectively, by:

\mu = 0, \sigma = 1.

Hence, considering the symmetry of the normal distribution, the value of c is <u>Z with a p-value of (1 + 0.9715)/2 = 0.98575</u>, hence c = Z = 2.19.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

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Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

<h3>How to calculate the perimeter?</h3>

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

<u>Given the following data:</u>

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Perimeter = 3.142 × 11.5

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Read more on trapezoid here: brainly.com/question/4758162

#SPJ1

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