Two cards are drawn simultaneously or successively without replacement from a well-shuffled deck of 52 cards. Find the probability distribution of number of aces (x). Give a graphical representation of probability distribution.
When two cards are drawn from a standard deck of 52 cards without replacement, the random variable $X$ represents the number of aces obtained. There are 4 aces in the deck and 48 non-aces. Step 1: List possible values of $X$ __________ __________ _______ _______ ___ __________ ___ _____.
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नीचे 10 छात्रों द्वारा भौतिकी और गणित में (25 में से) प्राप्त किए गए अंकों का बंटन दिया गया है:
| क्रम सं. | भौतिकी (Xi ) | गणित (Yi ) | X2 i | Y2 i | X i Yi | ||
| 1 | 18 | 21 | 324 | 441 | 378 | ||
| 2 | 20 | 23 | 400 | 529 | 460 | ||
| 3 | 11 | 14 | 121 | 196 | 154 | ||
| 4 | 20 | 23 | 400 | 529 | 460 | ||
| 5 | 14 | 17 | 196 | 289 | 238 | ||
| 6 | 15 | 18 | 225 | 324 | 270 | ||
| 7 | 13 | 16 | 169 | 256 | 208 | ||
| 8 | 16 | 19 | 256 | 361 | 304 | ||
| 9 | 17 | 20 | 289 | 400 | 480 | ||
| 10 | 20 | 23 | 400 | 529 | 460 | ||
| कुल जोड़ | 164 | 194 | 2780 | 3854 | 3412 | ||
In a locality of 18,000 families, a random sample of 840 families was taken. Of these 840 families, 206 families were found to have a monthly income of Rs. 500 or less. Give the confidence interval for the families having income Rs. 500 or less.
यदि अनुभव से यह पता चलता हो कि 20% बल्ब खराब होते हैं, तो इस बात की प्रायिकता ज्ञात कीजिए कि 200 बल्बों वाले बक्से में अधिक-से-अधिक 5 खराब बल्ब मिलेंगे।
Which of the following statements are true? Give reasons for your answer.
(i) F-distribution is always used in goodness of fit.
(ii) Measure of central tendency in a data set refers to the extent to which the observations are scattered.
(iii) A process is said to be under assignable cause when the points are above the VCL link of ( chart. ,R)
(iv) Simple random sampling is done by using random number tables where the probability of drawing a digit is 0⋅ .1
(v) All time series have a trend.
A manufacture of rayon wants to compare that the yield strength of 11⋅5 kg/mm2 is met or not at 5% level of significance. The manufacturer draws a sample and calculates the mean to be 12⋅8kg/ 2 mm and the standard derivation is known to be 2⋅0kg/ mm . 2 Carry out the statistical test appropriate for this.
Following is the distribution of marks (out of 25) obtained by 10 students in Physics and Mathematics.
| No. | Physics (Xi ) | Mathematics (Yi ) | X2 i | Y2 i | X i Yi | ||
| 1 | 18 | 21 | 324 | 441 | 378 | ||
| 2 | 20 | 23 | 400 | 529 | 460 | ||
| 3 | 11 | 14 | 121 | 196 | 154 | ||
| 4 | 20 | 23 | 400 | 529 | 460 | ||
| 5 | 14 | 17 | 196 | 289 | 238 | ||
| 6 | 15 | 18 | 225 | 324 | 270 | ||
| 7 | 13 | 16 | 169 | 256 | 208 | ||
| 8 | 16 | 19 | 256 | 361 | 304 | ||
| 9 | 17 | 20 | 289 | 400 | 480 | ||
| 10 | 20 | 23 | 400 | 529 | 460 | ||
| Total | 164 | 194 | 2780 | 3854 | 3412 | ||
एक अनुसंधानकर्ता एक घोल का तापमान पाँच बार मापता है। प्रेक्षण 25, 32, 27, 29, 30° क हैं। तापमान का एक अनभिनत आकल ज्ञात कीजिए।