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Figure shows a block of mass m resting on a 20∘ slope. The block has coefficients of friction 0.81 and 0.45 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.
If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have?
12x-[3x3+5x2-{7x2-(4-3x-x3)+6x3}-3x]
what is computer.
A company manufactures 4000 cars in a year with a probability that a part will be defective is
0.002. Find the probability that company produces:
a) 4 cars with defective
b) at least 4 cars
c) at most 4 cars with defective.
If A and B are mutually exclusive and P(A)=0.29,P(B)=0.43. Find
a) , b) P , c) P
A company manufactures 4000 cars in a year with a probability that a part will be defective is 0.002. Find the probability that company produces:
a) 4 cars with defective b) at least 4 cars c) at most 4 cars with defective.
A Box contains 12 balls of which 3 are white and 9 are red. A sample of 3 balls is selected at random from the box. Find the moment generating function of X and hence find mean and standard deviation of the distribution.
A certain number of articles manufactured in a batch were classified into three categories according to some particular characteristic, being less than 50, between 50 and 60 and greater than 60. If this characteristic is known to be normally distributed, determine the mean and standard deviation for this batch if 60%, 35% and 5% were found in these categories.
In an examination taken by 500 candidates, the average and S.D of marks obtained are 40% and 10% respectively. Assuming normal distribution, find (i) how many have scored above 60%,(ii) how many will pass if 50% is fixed as the minimum marks for passing, (iii) how many will pass if 40% is fixed as the minimum marks for passing, and (iv) what should be the minimum percentage of marks for passing so that 350 candidates pass.
The probability that a man aged 60 will live to be 70 is 0.65. What is the probability that out of 10 men, now aged60 (i) exactly 9 will live to be 70 (ii) at most 9 will live to be 70, and (iii) at least 7 will live to be 70?
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