Question

1 Please round Pi to three decimal places. 3 2 Find the absolute value of -22. Important Functions 3 Generate a random number between 0 and 1 and display it in percentage (for example, 99.99%). 5 4 Generate a random number between 1 and 100. 6 5 What is 15 squared? 7 6 What is 8 cubed? 8 7 What is the square root of 28900? 9 8 What is the cube root of 19683? 10 9 What is the length of the word "operations"? 11 10 Display the left four letters of the word "management". 12 11 Display the right three letters of the word "Maine". 13 12 Display the middle one letter of the word "Orono". 14 13 $P(z<-0.34)=?$ 15 14 $P(z>1.25)=?$ 16 15 If X follows N(20,10), $P(x<14.5)=?$ 17 16 If X follows N(20,10), $P(x>12.3)=?$ 18 17 If $P(z<Z)=0.0052$, z=? 19 18 If X follows N(10,9), $P(x<X)=0.9608$, x=? 20 19 What is the summation of Cells A2:A21? 21 20 Display the functions in Column C. 22

          1 Please round Pi to three decimal places.
3 2 Find the absolute value of -22.
Important Functions
3 Generate a random number between 0 and 1 and display it in percentage (for example, 99.99%).
5 4 Generate a random number between 1 and 100.
6 5 What is 15 squared?
7 6 What is 8 cubed?
8 7 What is the square root of 28900?
9 8 What is the cube root of 19683?
10 9 What is the length of the word "operations"?
11 10 Display the left four letters of the word "management".
12 11 Display the right three letters of the word "Maine".
13 12 Display the middle one letter of the word "Orono".
14 13 $P(z<-0.34)=?$
15 14 $P(z>1.25)=?$
16 15 If X follows N(20,10), $P(x<14.5)=?$
17 16 If X follows N(20,10), $P(x>12.3)=?$
18 17 If $P(z<Z)=0.0052$, z=?
19 18 If X follows N(10,9), $P(x<X)=0.9608$, x=?
20 19 What is the summation of Cells A2:A21?
21 20 Display the functions in Column C.
22

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1 Please round Pi to three decimal places.
3 2 Find the absolute value of -22.
Important Functions
3 Generate a random number between 0 and 1 and display it in percentage (for example, 99.99%).
5 4 Generate a random number between 1 and 100.
6 5 What is 15 squared?
7 6 What is 8 cubed?
8 7 What is the square root of 28900?
9 8 What is the cube root of 19683?
10 9 What is the length of the word "operations"?
11 10 Display the left four letters of the word "management".
12 11 Display the right three letters of the word "Maine".
13 12 Display the middle one letter of the word "Orono".
14 13 P(z<-0.34)=?
15 14 P(z>1.25)=?
16 15 If X follows N(20,10), P(x<14.5)=?
17 16 If X follows N(20,10), P(x>12.3)=?
18 17 If P(z<Z)=0.0052, z=?
19 18 If X follows N(10,9), P(x<X)=0.9608, x=?
20 19 What is the summation of Cells A2:A21?
21 20 Display the functions in Column C.
22

Added by Danielle F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lucas Finney

01/16/2023

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Step 1: Round Pi to three decimal places. Show more…

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1 Please round Pi to three decimal places. 3 2 Find the absolute value of -22. Important Functions 3 Generate a random number between 0 and 1 and display it in percentage (for example, 99.99%). 5 4 Generate a random number between 1 and 100. 65 What is 15 squared? 7 6 What is 8 cubed? 8 7 What is the square root of 28900? 98 What is the cube root of 19683? 10 9 What is the length of the word "operations"? 11 10 Display the left four letters of the word "management". 12 11 Display the right three letters of the word "Maine". 13 12 Display the middle one letter of the word "Orono", 14 13 P(z<-0.34)=? 15 14 P(z>1.25)=? 16 15 If X follows N(20,10), P(x<14.5)=? 17 16 If X follows N(20,10), P(x>12.3)=? 18 17 If P(z<Z)=0.0052, z=? 19 18 If X follows N(10,9), P(x<X)=0.9608, x=? 20 19 What is the summation of Cells A2:A21? 21 20 Display the functions in Column C. 22 Answers 3.142 22 .781 or 78.1% 73 225 512 170 27 10 mana ine 0 + 0.3665 0.1056 0.2912 0.2206 -2.57 15.43 210

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Transcript

00:01 So for this problem, if we have that x is the result of the rand function, then x is going to be distributed as a uniform continuous random variable with minimum value zero, maximum value 1.

00:15 So generally, we have that if x is distributed as a uniform random variable between values a and b, we have the expected value of x, or pardon me, actually, i won't go for expect.

00:30 Value.

00:31 I'll go straight to finding the probability density function.

00:34 We'd have that the probability density function is going to be given by 1 over b minus a.

00:41 So in this case, 1 over b minus a is just 1 over 1 minus 0.

00:50 So f of x is equal to 1 for x in the interval from 0 up to 1.

01:01 Then moving on to part b, finding the probability of x being between 0 .25 and 0 .85, we can do that by finding the cumulative density function and evaluating it at 0 .85 minus the cumulative at 0 .25.

01:28 But we have, for our general uniform random variable, the cumulative density function is going to be given by x minus a x minus a divided by b minus a so for our specific case here that's just going to be x so we'd have the probability is going to be 0 .85 minus 0 .25 for a result of 0 .6 for part c probability of generating a random number with value less than or equal to 0 .3 so probability of x less than or equal to 0 .3 should simply be equal to f of 0 .3, which is itself 0 .3.

02:21 Then for part d, probability of x greater than or equal to, pardon me, not greater than or equal to, greater than 0 .7, it's going to be equal to 1 minus the probability of x less than or equal to 0 .7.

02:43 So that's then going to be 1 minus 0 .7 for a result of 0 .3...

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