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Ne4ueva [31]
3 years ago
15

Given that z is a standard normal random variable, find z for each situation. The area to the right of z is .1314. (Round to two

decimal places) Answer The area to the left of z is .6700. (Round to two decimal places) Answer .44 The area to the right of z is .01. (Round to two decimal places) Answer
Mathematics
1 answer:
Mumz [18]3 years ago
6 0

Answer:

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

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<h2><u>Answer:</u></h2><h3>The Line Plot is Below.</h3><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Turn each fraction into a decimal:</h3>
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Lets assume that they are driving at an average of 70mph, and getting gas takes 10 minutes, and stopping to eat takes 30.

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Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.
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Answer:

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere up to two decimal places  =12.56 square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

                        \frac{4}{3}* \pi *r^3                                                         :\pi =\frac{22}{7} =3.14

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