Question

(a) Heights of mature triffids are normally distributed with mean 1.86 meters and standard deviation 0.23 meters. About what percentage of mature triffids are taller than 2 meters? A. About 2% B. About 73% C. About 27% D. About 98% E. About 23% (b) For a standard normal distribution, find the approximate proportion of observations between -0.25 and 0.54. A. 0.7959 B. 0.2541 C. 0.3041 D. 0.6959 E. 0.3541 (c) For a standard normal distribution, find the approximate proportion of observations less than 1.27. A. 0.102 B. 0.848 C. 0.898 D. 0.202 E. 0.948 (d) For a normal distribution with mean 1.4 and standard deviation 0.6, 32 percent of the observations are greater than what value? A. -1.7806 B. 1.6806 C. 0.8403 D. 1.6306 E. 3.1806

          (a) Heights of mature triffids are normally distributed with mean 1.86 meters and standard deviation 0.23 meters. About what percentage of mature triffids are taller than
2 meters?
A. About 2%
B. About 73%
C. About 27%
D. About 98%
E. About 23%
(b) For a standard normal distribution, find the approximate proportion of observations between -0.25 and 0.54.
A. 0.7959
B. 0.2541
C. 0.3041
D. 0.6959
E. 0.3541
(c) For a standard normal distribution, find the approximate proportion of observations less than 1.27.
A. 0.102
B. 0.848
C. 0.898
D. 0.202
E. 0.948
(d) For a normal distribution with mean 1.4 and standard deviation 0.6, 32 percent of the observations are greater than what value?
A. -1.7806
B. 1.6806
C. 0.8403
D. 1.6306
E. 3.1806

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a heights of mature triffids are normally distributed with mean 186 meters and standard deviation 023 meters about what percentage of mature triffids are taller than 2 meters a about 2 b abo 95191

Added by Allison W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Shaiju T

06/06/2022

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Step 1: We need to find the z-score for 2 meters. Show more…

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(a) Heights of mature triffids are normally distributed with mean 1.86 meters and standard deviation 0.23 meters. About what percentage of mature triffids are taller than 2 meters? A. About 2% B. About 73% C. About 27% D. About 98% E. About 23% (b) For a standard normal distribution, find the approximate proportion of observations between -0.25 and 0.54. A. 0.7959 B. 0.2541 C. 0.3041 D. 0.6959 E. 0.3541 (c) For a standard normal distribution, find the approximate proportion of observations less than 1.27. A. 0.102 B. 0.848 C. 0.898 D. 0.202 E. 0.948 (d) For a normal distribution with mean 1.4 and standard deviation 0.6, 32 percent of the observations are greater than what value? A. -1.7806 B. 1.6806 C. 0.8403 D. 1.6306 E. 3.1806

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Transcript

0:00 Hello students.

00:01 So our question is solve for what is being asked on each item.

00:04 So the first one which is asked with us is the height of 200 plants in a garden follow a normal distribution with a mean of 72 .3 centimetre with a standard deviation of 8 .9 centimeter.

00:18 Okay.

00:19 So we have to answer the three questions.

00:23 The first one is about how many plants whose heights are between 82 to 90 centimeter and three more.

00:30 So let's solve this.

00:31 Okay, so the given quantities are the mu which is given to us 72 .3 centimeter, correct? and the value of sigma which is given to us this 8 .9 centimeter.

00:47 Clearly, so probability that heights are probability between 82 and 90.

00:56 So this will be probability of 82 and the x is between 82 to 90.

01:03 82 to 90 and that is as equals to p probability of 82 we are using a formula so that is 82 minus 72 .3 that is our value of mu and the value of sigma is 8 .9 that is given in the quotient so this is x minus mu the value of x will be okay so x minus mu we are using this formula is so this is divided by sigma and it's between this and the second one is this is the individual probability.

01:42 Okay, the probability of 90 minus 72 .3, 90 minus 72 .3 and divided by 8 .9.

01:50 Clearly.

01:51 So this will be our probability.

01:53 Now when we solve this, so the value of this, when we solve all this, this will be the probability of 1 .09 and the z will be.

02:04 Greater than 1 .09 and less than the 1 .99.

02:08 The solution of the third one, this one.

02:11 Okay, this...

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