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Properties of t distribution
1. The t distribution ranges from - ∞ to ∞ first as does the general distribution
2. The t distribution as the standard general distribution is bell shaped and symmetrical around mean zero
3. The shapes of the t distribution changes like the number of degrees of freedom changes
4. The t distribution is more platykurtic that the normal distribution
5. The t distribution has a greater dispersion than the standard general distribution. Like n gets larger the t distribution approaches the general distribution while n = 30 the difference is extremely small
Relation among the t distribution and standard general distribution is displayed in the given diagram
Note that the t distribution has different shapes depending on the size of the sample. When the sample is rather small the height of the t distribution is shorter than the general distribution and the tails are wider.
Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans: Given : - ∠APB = 120o Construction : -Join OP To prove : -
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week 3 assignment
Which of the subsequent terms does NOT describe the number 9? Nine is NOT prime since it has 3 factors; 1, 3, and 9. Prime numbers have only 2 factors.
verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2
10+2=
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