{"id":6994,"date":"2021-10-22T14:31:31","date_gmt":"2021-10-22T09:01:31","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6994"},"modified":"2021-10-25T01:48:24","modified_gmt":"2021-10-24T20:18:24","slug":"at-a-telephone-enquiry-system-the-number-of-phone-calls-regarding-relevant-enquiry-follow-poisson-distribution-with-an-average-of-5-phone-calls-during-10-min-time-intervals-the-probability-that-the","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/at-a-telephone-enquiry-system-the-number-of-phone-calls-regarding-relevant-enquiry-follow-poisson-distribution-with-an-average-of-5-phone-calls-during-10-min-time-intervals-the-probability-that-the\/","title":{"rendered":"At a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is almost one phone call during a 10 min time period is"},"content":{"rendered":"

Solution :<\/h2>\n

Required Probability = P(X = 0) + P(X = 1)<\/p>\n

= \\(e^{-5}\\over 0!\\).\\(5^0\\) + \\(e^{-5}\\over 1!\\).\\(5^1\\)<\/p>\n

= \\(e^{-5}\\) + 5\\(e^{-5}\\) = \\(6\\over {e^5}\\)<\/p>\n

\n

Similar Questions<\/h3>\n

The probability of India winning a test match against the west indies is 1\/2 assuming independence from match to match. The probability that in a match series India\u2019s second win occurs at the third test is<\/a><\/p>\n

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is<\/a><\/p>\n

If A and B are two mutually exclusive events, then<\/a><\/p>\n

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A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then, \\(P(A \\cup B)\\) is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Required Probability = P(X = 0) + P(X = 1) = \\(e^{-5}\\over 0!\\).\\(5^0\\) + \\(e^{-5}\\over 1!\\).\\(5^1\\) = \\(e^{-5}\\) + 5\\(e^{-5}\\) = \\(6\\over {e^5}\\) Similar Questions The probability of India winning a test match against the west indies is 1\/2 assuming independence from match to match. The probability that in a match series India\u2019s …<\/p>\n

At a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is almost one phone call during a 10 min time period is<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,44],"tags":[],"yoast_head":"\nAt a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. 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