Distribution Functions; Errors And Calculation Ranges; Binomial Distribution; Notes On Battery Replacement - Sharp EL-W516T Operation Manual

DISTRIBUTION FUNCTIONS

The calculator has distribution features to find statistical calculations.
Press b 7, and select the type (NORMAL, BINOMINAL,
POISSON), and then select the desired distribution function.
Note: Calculation results are stored in ANS memory.
Normal Distribution
Normal pdf
Calculates the probability density of the specified value x for the nor-
mal distribution with the specified mean (μ) and standard deviation (
Normal cdf
Calculates the probability of a specified intervals x1-x2 for the normal
distribution with the specified mean (μ) and standard deviation (
Inverse Normal
Calculates the inverse cumulative normal distribution function for a
given area (a) under the normal distribution curve specified by mean (μ)
σ
and standard deviation ( ).

Binomial Distribution

Binomial pdf
Calculates a probability density at x for the discrete binomial
distribution with the specified trial number (n) and probability of
success (p) on each trial.
Binomial cdf
Calculates a cumulative probability at x for the discrete binomial
distribution with the specified trial number (n) and probability of
success (p) on each trial.
Poisson Distribution
Poisson pdf
Calculates a probability at x for the Poisson distribution with the speci-
fied mean (μ) .
Poisson cdf
Calculates a cumulative probability at x for the Poisson distribution
with the specified mean (μ).
Find the nominal distribution
b
7 0
probability density for x = 65
0 65 e 60
when the normal distribution
of the test score averages is
e 6
60 with a standard deviation
of 6.
e
Calculate the probability of
b 7 0
range x = 54 to 66 in the
1 54 e 66
above sample.
e 60 e 6
e
Find the value of x for the
b
7 0
probability of 0.8 in the
0 . 8
2 e 60
above sample.
e 6
e
Find the probability density
b
7 1
for 15 trials with x = 7, for
0 7 e 15
the binomial distribution with
0 . 3
success probability of 30%. e
e
Calculate the probability of
b
7 1
range up to x = 7 (success
1 7 e 15
number) in the above
0 . 3
sample. e
e
Find the probability density
b
7 2
of x = 4, for the mean of a
3 . 6
0 4 e
Poisson distribution of 3.6.
e
Find the probability within
b 7 2
the range up to x = 4.
3 . 6
1 4 e
e
DRILL MODE
Math Drill: b 8 0
Math operation questions with positive integers and 0 are displayed
randomly. It is possible to select the number of questions and operator
type.
Multiplication Table (
Questions from each row of the multiplication table (1 to 12) are
displayed serially or randomly.
σ
).
To exit DRILL mode, press b and select another mode.
Using Math Drill and
σ 1. Press b 8 0 for Math Drill or b 8 1 for
).
2. Math Drill: Use u and d to select the number of questions (25,
50, or 100).
×
Table: Use u and d to select a row in the multiplication
table (1 to 12).
3. Math Drill: Use l and r to select the operator type for
+ -
questions ( ,
×
Table: Use l and r to select the order type ("Serial" or
"Random").
4. Press e to start.
When using Math Drill or
randomly selected and will not repeat except by chance.
5. Enter your answer. If you make a mistake, press j or N to clear
any entered numbers, and enter your answer again.
6. Press e.
• If the answer is correct, "
displayed.
• If the answer is wrong, "
displayed. This will be counted as an incorrect answer.
• If you press e without entering an answer, the correct answer
is displayed and then the next question is displayed. This will be
counted as an incorrect answer.
7. Continue answering the series of questions by entering the answer
and pressing e.
8. After you finish, press e and the number and percentage of
correct answers are displayed.
9. Press e to return to the initial screen for your current drill.
Ranges of Math Drill Questions
Normal pdf
x The range of questions for each operator type is as follows.
: .
65
Addition operator: "0
+
μ
.
:
60
Subtraction operator: "0
]
s
: 6_
positive integers and 0.
Multiplication operator: "1
>
Division operator: "0
)
integers from 1 to 12 and 0, dividends of up to 144, and
ANS =
divisors of up to 12.
.
0 046985312
Mixed operators: Questions within all the above ranges are
+]>)
displayed.
Normal cdf
x
1 : .
54

ERRORS AND CALCULATION RANGES

x
.
2 :
66
μ
: . Errors
60
s
: 6_
An error will occur if an operation exceeds the calculation ranges, or if
a mathematically illegal operation is attempted. When an error occurs,
pressing l or r automatically moves the cursor back to the place
ANS =
in the equation where the error occurred. Edit the equation or press j
.
0 682689492
or @ Z to clear the equation.
Error codes and error types
Inverse Normal
a
.
:
0 8
ERROR 01: Syntax error
μ
.
:
60
• An attempt was made to perform an invalid operation.
s
: 6_ Ex. 2 + & 5 =
ANS = ERROR 02: Calculation error
• The absolute value of an intermediate or final calculation result equals
.
65 0497274
or exceeds 10 100
• An attempt was made to divide by zero (or an intermediate calculation
Binomial pdf
resulted in zero).
x
.
:
7
• The calculation ranges were exceeded while performing calculations.
n
.
: • 0 or a negative number was entered as a step value in TABLE mode.
15
The absolute value of a starting value or a step value equals or
p
.
: 0
3_
exceeds 10 100 in TABLE mode.
• When the number to be factored into primes is greater than 2 and
ANS =
other than a 10-digit positive integer, or when the result of prime
.
0 081130033
factorization is a negative number, decimal, fraction, r
Binomial cdf
ERROR 03: Nesting error
x • The available number of buffers was exceeded. (There are 10 buffers*
.
:
7
for numeric values and 64 buffers for calculation instructions).
n
.
:
15
* 5 buffers in COMPLEX mode, and 1 buffer for matrix/vector data.
p
.
: 0
3_
ERROR 04: Data over error
ANS =
• Data items exceeded 100 in STAT mode.
.
0 949987459
ERROR 07: Definition error
• Matrix definition error or the attempted entering of an invalid value.
Poisson pdf
x
.
:
4 ERROR 08: DIM unmatched error
μ • Matrix/vector dimensions inconsistent while calculating.
.
: 3
6_
ERROR 10: Undefined error
ANS =
• Undefined matrix/vector used in calculation.
.
0 191222339
Alert Messages
Poisson cdf
x
.
:
4
Cannot delete!
μ
.
: 3
6_
• The selected item cannot be deleted by pressing N or @ y
in the WriteView editor.
ANS =
Ex. * 5 r A l N
In this example, delete the exponent before attempting to delete the
.
0 706438449
parentheses.
Cannot call!
• The function or operation stored in definable memory (D1 to D3)
cannot be called.
Ex. An attempt was made to recall a statistical variable from within
NORMAL mode.
×
Table): b 8 1
×
Table
×
× ÷ +-×÷
, , , or ).
×
Table (random order only), questions are
" appears and the next question is
" appears and the same question is
+ +
0" to "20 20"
- -
0" to "20 20"; answers are
× × ×
0" or "0 1" to "12 12"
÷ ÷
1" to "144 12"; answers are positive
.
, π
or .
5/9
Buffer full!
• The equation (including any calculation ending instructions) exceeded
its maximum input buffer (159 characters in the WriteView editor or
161 characters in the Line editor). An equation may not exceed its
maximum input buffer.
Calculation Ranges
• Within the ranges specified, this calculator is accurate to
of the 10th digit of the mantissa. However, a calculation error
increases in continuous calculations due to accumulation of each
calculation error. (This is the same for
Π
Vector calculations, , etc., where continuous calculations are
performed internally.)
Additionally, a calculation error will accumulate and become
Table.
larger in the vicinity of inflection points and singular points of
functions.
• Calculation ranges
± ± ×
-
10 99 to 9.999999999 10
If the absolute value of an entry or a final or intermediate result of
-
a calculation is less than 10 99
calculations and in the display.
Display of results using r (when EXACT is selected)
Calculation results may be displayed using r when all of the following
conditions are met:
• When intermediate and final calculation results are displayed in the
following form:
a P b c P d
± ±
 
e
f
• When each coefficient falls into the following ranges:
≤ < < <
1 a 100; 1 b 1,000; 0
≤ < ≤ <
1 d 1,000; 1 e 100; 1
• When the number of terms in the intermediate and final calculation
results is one or two.
Note: The result of two fractional terms that include r will be reduced to
a common denominator.
BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or explosion.
Be sure to observe the following handling rules:
• Make sure the new battery is the correct type.
• When installing, orient the battery properly as indicated in the
calculator.
• The battery is factory-installed before shipment, and may be exhausted
before it reaches the service life stated in the specifications.
Notes on erasure of memory contents
When the battery is replaced, the memory contents are erased.
Erasure can also occur if the calculator is defective or when it is
repaired. Make a note of all important memory contents in case
accidental erasure occurs.
When to Replace the Battery
If the display has poor contrast or nothing appears on the display when
j is pressed in dim lighting, even after adjusting the display contrast,
it is time to replace the battery.
Cautions
• An exhausted battery left in the calculator may leak and damage the
calculator.
• Fluid from a leaking battery accidentally entering an eye could
result in serious injury. Should this occur, wash with clean water and
immediately consult a doctor.
• Should fluid from a leaking battery come in contact with your skin or
clothes, immediately wash with clean water.
• If the product is not to be used for some time, to avoid damage to the
unit from a leaking battery, remove it and store in a safe place.
• Do not leave an exhausted battery inside the product.
• Keep batteries out of the reach of children.
• Explosion risk may be caused by incorrect handling.
• Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ o.
2. Remove two screws. (Fig. 1)
3. Lift the battery cover to remove.
4. Remove the used battery by prying it out with
a ball-point pen or other similar pointed device.
(Fig. 2)
5. Install one new battery. Make sure the "
is facing up.
6. Replace the cover and screws.
7. Press the RESET switch (on the back) with the
tip of a ball-point pen or similar object.
8. Adjust the display contrast. See "Adjusting the
display contrast". And then press j.
• Make sure that the display appears as shown
below. If the display does not appear as shown,
remove the battery, reinstall it, and check the
display once again.
Autom
This ca
pressed
36
Display
±
1
Display
y x , x r, n!, e
x
, ln, Matrix/
Interna
Pendin
Power s
99 and 0.
, the value is considered to be 0 in
Operati
(varies
and oth
Operati
Externa
Weight
≤ <
c 100;
≤ <
f 100
Fig. 1
+
" side
Fig. 2
SPEC