{"id":116,"date":"2025-07-15T13:34:46","date_gmt":"2025-07-15T13:34:46","guid":{"rendered":"https:\/\/functiontranslator.com\/2021\/02\/12\/critbinom\/"},"modified":"2021-02-13T11:33:23","modified_gmt":"2021-02-13T11:33:23","slug":"critbinom","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/en\/critbinom\/","title":{"rendered":"CRITBINOM"},"content":{"rendered":"

In Excel and Google Sheets, the CRITBINOM function is designed to compute the smallest value for which the cumulative binomial distribution is less than or equal to a specific probability threshold. It is particularly useful for finding the minimum number of successful outcomes necessary to reach a given cumulative probability in a sequence of Bernoulli trials.<\/p>\n

Syntax:<\/h2>\n
=CRITBINOM(trials, probability_s, probability_cumulative)<\/code><\/pre>\n
    \n
  • trials:<\/b> The total number of Bernoulli trials.<\/li>\n
  • probability_s:<\/b> The probability of success in each trial.<\/li>\n
  • probability_cumulative:<\/b> The target cumulative probability level.<\/li>\n<\/ul>\n
    Examples:<\/h2>\n
    Consider a scenario in which we conduct 10 trials, each with a success probability of 0.3. We aim to find the smallest number of successes required to reach or exceed a cumulative probability of 0.9.<\/p>\n\n\n\n\n
    Excel<\/th>\nGoogle Sheets<\/th>\n<\/tr>\n
    \n
    =CRITBINOM(10, 0.3, 0.9)<\/code><\/pre>\n<\/td>\n
    		\n
    =CRITBINOM(10, 0.3, 0.9)<\/code><\/pre>\n<\/td>\n<\/tr>\n
    Result: 7<\/td>\nResult: 7<\/td>\n<\/tr>\n<\/table>\n
    This result shows that to attain or exceed a cumulative probability of 0.9 in 10 trials, each with a success rate of 0.3, a minimum of 7 successful outcomes is necessary.<\/p>\n
    Applications:<\/h2>\n
    The CRITBINOM function can be leveraged in various practical scenarios, including:<\/p>\n
      \n
    • Determining the minimum number of sales needed to achieve a specified conversion target<\/li>\n
    • Calculating the minimum number of correct responses required on a test to achieve a designated pass rate<\/li>\n
    • Estimating the least number of successful completions necessary to attain a target success rate in marketing endeavors<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"
      Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[205],"tags":[],"class_list":["post-116","post","type-post","status-publish","format-standard","hentry","category-compatibility"],"acf":[],"yoast_head":"\nExcel CRITBINOM Function \u2013 How It Works, Formula Examples and Syntax<\/title>\n<meta name=\"description\" content=\"Learn what the Excel CRITBINOM function does. 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