Documentation/How Tos/Calc: PROB function
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CALC FUNCTIONS
Measures of Central Tendency
Measures of dispersion / spread
Probability and statistics
Correlation and line fitting
See also (in the Array Function category); GROWTH, LINEST, LOGEST, TREND
Ranking
Contents
PROB
Returns a result from a list of probabilities.
Syntax:
PROB(values; probabilities; start; end)
- values is a range or array of numbers (possibly unordered).
- probabilities is a range or array of numbers of the same size as values, indicating the corresponding probability (>0 and <=1) that each value in values will occur. The numbers in probabilities must sum to 1 exactly.
- PROB finds all values which are between start and end inclusive and returns the sum of their corresponding probabilities.
- end may be omitted, in which case PROB returns the probability corresponding to start (or 0 if start is not present in values).
- Advanced topic: PROB evaluates the values and probabilities parameters as array formulas - see the examples.
Example:
PROB({3; 4; 5; 6}; {0.2; 0.4; 0.3; 0.1}; 4; 6)
- returns 0.8, the sum of the probabilities for 4, 5 and 6.
PROB({2.2; 5; 1}; {0.5; 0.3; 0.2}; 0; 3)
- returns 0.7, the sum of the probabilities for 1 and 2.2.
PROB({3; 4; 5; 6}; {0.2; 0.4; 0.3; 0.1}; 4)
- returns 0.4, the probability for 4.
Evaluation as an * array formula:
PROB(A1:A2*2; B1:B2; 2)
- where cells A1, A2 contain 1, 4 and cells B1, B2 contain 0.3, 0.7, returns 0.3. PROB forces evaluation of values as an array formula, so that A1:A2*2 yields the array {2 | 8}. Thus PROB({2 | 8}; B1:B2; 2) is actually evaluated to give the result.
PROB(A1:A2; B1:B2/100; 4)
- where cells A1, A2 contain 1, 4 and cells B1, B2 contain 30, 70, returns 0.7. PROB forces evaluation of probabilities as an array formula, so that B1:B2/100 yields the array {0.3 | 0.7}. Cells B1 and B2 effectively contain percentages here.
Issues:
- If start is given as a range (eg D4:D5) and the formula entered in scalar (non-array) mode then the top left value of the range appears to be evaluated, rather than the intersection of the range and the formula cell row/colum. This is a minor issue which is recorded in issue 88967.