HP 35s User Manual

 
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HP 35s  Averages and standard deviations 
 
hp calculators - 3 - HP 35s  Averages and standard deviations - Version 1.0 
 Figure 2 
 
 To find the value two standard deviations above and below the average, press the following: 
 
 In RPN mode: 
 
 %&15#$67%879 
 
 In algebraic mode: 
 
 %&516#$ (computes the above value) 
 #$915%& (computes the below value) 
 
 Figure 3 
 
Answer: The average sales price is $200,355 and the sample standard deviation is $11,189. Within two  
 standard...

 
hp calculators 
 
HP 35s  Averages and standard deviations 
 
hp calculators - 4 - HP 35s  Averages and standard deviations - Version 1.0 
   Figure 5 
  
Answer: The average high temperature that week was 5.29 degrees and the average low temperature was  
 –21.57 degrees. 
 
Example 3: John has bought gas on his driving trip at four gasoline stations as follows: 15 gallons at $1.56 per gallon,  
 7 gallons at $1.64 per gallon, 10 gallons at $1.70 per gallon and 17 gallons at $1.58 per gallon. What is...

 
 
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HP 35s  Probability – Rearranging items 
 
 
 
 
Rearranging items 
 
Practice solving problems involving factorials,  
permutations, and combinations 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Probability – Rearranging items 
 
hp calculators - 2 - HP 35s  Probability – Rearranging items - Version 1.0 
Rearranging items 
 
There are a great number of applications that involve determining the number of ways a group of items can be 
rearranged. The factorial function, accessed by pressing ! (which is the right-shifted function of the # key) on 
the 35s, will determine the number of ways you can rearrange the total number of items in a group. Note that the 35s will...

 
hp calculators 
 
HP 35s  Probability – Rearranging items 
 
hp calculators - 3 - HP 35s  Probability – Rearranging items - Version 1.0 
Answer: 2,598,960 different hands. Figure 2 shows the display assuming algebraic mode. 
 
Example 3: John has had a difficult week at work and is standing in front of the doughnut display at the local  
 grocery store. He is trying to determine the number of ways he can fill his bag with his 5 doughnuts  
 from the 20 varieties in the display case. He considers the...

 
hp calculators 
 
HP 35s  Probability – Rearranging items 
 
hp calculators - 4 - HP 35s  Probability – Rearranging items - Version 1.0 
   Figure 5 
 
 where P(X) is the probability of having X successes observed, nCx is the combination of n items  
 taken x at a time, and p is the probability of a success on each trial. 
 
 In RPN mode:  .-()&-/*()0%1
11.(-/*2.-()20% 
 
 In algebraic mode: &.-,),%-/*0)%4.2-/*1
11,04.-2)(1
 
 Figure 6 
 
Answer: If you flip a coin 10 times, there is a 20.51% chance of...

 
 
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HP 35s  Normal distribution applications 
 
 
 
 
The normal distribution 
 
Entering the normal distribution program 
 
Practice solving problems involving  
the normal distribution 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
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HP 35s  Normal distribution applications 
 
hp calculators - 2 - HP 35s  Normal distribution applications - Version 1.0 
The normal distribution  
The normal distribution is frequently used to model the behavior of random variation about a mean. This model assumes 
that the sample distribution is symmetric about the mean, M, with a standard deviation, S, and generates the shape of 
the familiar bell curve. A standardized normal distribution has a mean of 0 and a standard deviation of...

 
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HP 35s  Normal distribution applications 
 
hp calculators - 3 - HP 35s  Normal distribution applications - Version 1.0 
Practice solving problems involving the normal distribution 
 
Example 1: Find Q(x) for a Z value of +1. Make sure the HP 35s is in RPN mode.  
Solution: With the input value given as a Z-score, were dealing with the standardized normal distribution having a 
mean of 0 and a standard deviation of 1. Press 9! to enter RPN mode. 
 
 In RPN mode:  7.$
 
 Figure 2...

 
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HP 35s  Normal distribution applications 
 
hp calculators - 4 - HP 35s  Normal distribution applications - Version 1.0 
In RPN mode:  7.$
 
 Figure 6 
 
 Since we are dealing with a standardized normal distribution, the mean should stay equal to 0. 
$
 In RPN mode:  P$ 
 Figure 7 
  
 Since we are dealing with a standardized normal distribution, the standard deviation is 1. 
$
 In RPN mode:  P$
 
 Now, calculate Q(x) for an x value of –1 by pressing: 
 
 In RPN mode:  75 (Note: If...