JNTU B.Tech II COMPUTER ORIENTED STATISTICAL METHODS Previous Question Paper (February - 2024 - R22)

State addition theorem of probability.

State Baye’s rule.

Show that

Define a Poison distribution and give its mean and variance.

Define a uniform distribution.

Discuss the area property of normal distribution.

Define the maximum error of estimation.

Define t-distribution and give any two of its properties.

Discuss the transition probability in brief.

Describe a first order Markov process.

The chances that Dr. Rao will diagnose cancer disease correctly is 60%. The chance that a patient will die by his treatment after correct diagnosis is 40% and the chance of death by wrong diagnosis is 70%. A patient of Dr. Rao, who had cancer disease died. What is the probability his disease was correctly diagnosed?

If a die is rolled twice and X is defined as X = min (a,b), then find the probability distribution of X.

Given a random variable having the normal distribution with mean 16.2 and variance 1.5625, find the probabilities that it will take on a value i) greater than 16.8, ii) between 13.6 and 18.8.

State central limit theorem and discuss about its applications.

To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 32 values obtained for standard wire yielded mean of 0.136 ohm and standard deviation 0.004 ohm, and another 32 values obtained for alloyed wire yielded mean 0.083 ohm and standard deviation 0.005 ohm. At 0.05 level of significance, does this support the claim?

A cigarette manufacturing firm claims that its brand A line of cigarettes outsells its brand B by 8%. If it is found that 42 out of a sample of 200 smokers prefer brand A and 18 out of another sample of 100 smokers prefer brand B, test whether the 8% difference is a valid claim.