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Gaurav Seth 5 years, 5 months ago
Empirical probability is an objective probability. It is also known as relative frequency or experimental probability.
By definition, Empirical Probability is the number of outcomes in which a specified event occurs to the total number of trials.
Empirical probability is different from Theoretical probability on certain major aspects. That is, in theoretical probability, the probability is measured on the basis of the likeliness of an outcome. Whereas in the case of Empirical probability, the probability is based on how the event actually occurred during trials. The formula for Empirical probability is unlike a theoretical probability formula.
P(E)= Number of times event occurs / Total number of times experiment performed
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Yogita Ingle 5 years, 5 months ago
cos 38* cos 52* - sin 38* sin 52*
= cos 38* cos ( 90* - 38* ) - sin 38* sin ( 90* - 38 * )
= cos 38* sin 38* - sin 38* cos 38*
= 0
Gaurav Seth 5 years, 5 months ago
=> cos 38* cos 52* - sin 38* sin 52*
=> cos 38* cos ( 90* - 38* ) - sin 38* sin ( 90* - 38 * )
=> cos 38* sin 38* - sin 38* cos 38*
=> 0
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Yogita Ingle 5 years, 5 months ago
We know,
P(E) + P( not E) = 1
here, P(E) = 0.05
0.05 + P(not E) = 1
P(not E) = 1 -0.05 = 0.95
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Gaurav Seth 5 years, 5 months ago
Radius of cylinder (R) = 1cm
Height of cylinder (H) = 16cm
Let, the radius of small spheres be rcm
So,
12(volume of small sphere) = volume of cylinder
=> 12(4/3πr^3) = πR^2H
=> 16r^3 = 1^2 × 16
=> r^3 = 1cm
=> r = 1cm.
Diameter = 2R = 2x1 = 2 cm
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