The time it takes a randomly selected employee to perform a task is normally distributed with a mean value of 120 seconds and standard deviation of 20 seconds.   Calculate the probability that a randomly selected employee will complete: 2.1.1     The task within 100 to 130 sec                 2.1.2     In more than 75sec

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question

The following table shows the incomes of super 10 taxis by year

 

YEAR

x-CODE

INCOME-y

2001

1

28

2002

2

31

2003

3

34

2004

4

30

2005

5

35

Total

15

158

 

 

 

a)

Plot the data on a scatter plot diagram

 

b)

Compute Pearson’s correlation coefficient (r)

 

c)

Compute Spearman’s ranking (rho)

 

 

 

 QUESTION TWO                                                                                                                                                                                                                                                                     

The time it takes a randomly selected employee to perform a task is normally distributed with a mean value of 120 seconds and standard deviation of 20 seconds.

 

Calculate the probability that a randomly selected employee will complete:

2.1.1     The task within 100 to 130 sec              

 

2.1.2     In more than 75sec             

 

 

2.2         If it is estimated that 30% of all students who fall under the Business Economics and Management Department at Richfield have a valid driver’s license. What is the probability of this in a sample of 10 students?

 

2.2.1 Exactly 4 have a valid driver’s license?                                                                                                                              

 

2.2.2 At least 2 have a valid driver’s license?                                                                                                                               

 

2.2.3 More than 9 have a valid driver’s license?

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