निम्नलिखित सारणी 50 विद्यार्थियों द्वारा किसी सप्ताह में खेल के मैदान में व्यतीत किए गए घण्टों को दर्शाती है :
| घण्टे | 0 | 2 | 4 | 6 | 8 | 10 |
| विद्यार्थियों की संख्या | 10 | 6 | 8 | 6 | 10 | 10 |
विद्यार्थियों द्वारा वांछित घण्टों के माध्य और मानक विचलन परिकलित कीजिए।
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A bicycle shop sells the following number of bicycles from 1990 to 2000.
| Year | Number sold (thousands) |
| 1990 | 3 |
| 1991 | 3 |
| 1992 | 3 |
| 1993 | 3 |
| 1994 | 6 |
| 1995 | 6 |
| 1996 | 6 |
| 1997 | 6 |
| 1998 | 9 |
| 1999 | 10 |
| 2000 | 12 |
Consider a population of 11 schools from which a sample of size 3 is to be selected. List all the possible samples by circular systematic sampling.
A shop manufacturer is trying to determine whether or not to market a new type of shop. It chooses a random samples of equivalent size in England and France. It asks each of the people in each sample to try the new soap, and see whether he or she likes it better than other soaps. The results are as follows:
| United States | England | France | |
| Prefer new soap | 81 | 43 | 26 |
| Do not prefer it | 219 | 257 | 274 |
दो पासों को फेंकने वाली स्थिति लीजिए। मान लीजिए
A : एक विषम जोड़ पाने की घटना को प्रकट करता है,
B : पहले पासे पर एक (1) पाने की घटना को प्रकट करता है, तथा
C : दो पासों पर, सात का योगफल पाने की घटना को प्रकट करता है।
A bicycle shop sells the following number of bicycles from 1990 to 2000.
| Year | Number sold (thousands) |
| 1990 | 3 |
| 1991 | 3 |
| 1992 | 3 |
| 1993 | 3 |
| 1994 | 6 |
| 1995 | 6 |
| 1996 | 6 |
| 1997 | 6 |
| 1998 | 9 |
| 1999 | 10 |
| 2000 | 12 |
Find and
.
Check whether A,B and C are independent or not. Give reasons for your answers.
It is desired to estimate average annual wool yield per sheep for a herd of 150 at a certain farm house using stratified simple random sampling. Sheeps in the herd are to be grouped into three strata on the basis of first shaving in days. Optimum method sample allocation is said to be used for selecting the overall sample of 25 sheeps from the three strata. Determine approximately optimum strata boundaries using the information on first shaving given below.
| having days | No. of Sheep (f) |
|
| 30-70 | 6 | 2.45 |
| 70-110 | 2 | 1.414 |
| 110-150 | 1 | 1 |
| 150-190 | 4 | 2 |
| 190-230 | 2 | 1.414 |
| 230-270 | 7 | 2.646 |
| 270-310 | 8 | 2.828 |
| 310-350 | 20 | 4.472 |
| 350-390 | 10 | 3.162 |
| 390-430 | 25 | 5 |
| 430-470 | 40 | 6.325 |
| 470-510 | 25 | 5 |
अच्छी तरह से फेंटी गई ताश के 52 पत्तों की गड्डी से एक साथ बिना प्रतिस्थापन के दो पत्ते खींचे गए हैं। इक्कों की संख्या (x) का प्रायिकता बंटन ज्ञात कीजिए। प्रायिकता बंटन का एक ग्राफीय निरूपण प्रस्तुत कीजिए।