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Which of the following is incorrect Select one a. Probability distribution is used to compute continuous random variables b. Probability distribution equals to one. c. Probability distribution is used?
b is incorrect while c is virtually meaningless.
What is the probability of getting tails and selecting a 3 if you toss a coin and randomly select a number?
There are infinitely many numbers and so the probability of the second event is 0. As a result the overall probability is 0.
What is the difference between simple random sampling and systematic random sampling?
simple random sample is to select the sample in random method but systematic random sample is to select the sample in particular sequence (ie 1st 11th 21st 31st etc.)• Simple random sample requires that each individual is separately selected but systematic random sample does not selected separately.• In simple random sampling, for each k, each sample of size k has equal probability of being selected as a sample but it is not so in systematic random sampling.
What is the probability of choosing a prime number?
Although there are infinitely many primes, they become rarer and rarer so that as the number of numbers increases, the probability that picking one of them at random is a prime number tends to zero*. In the first 10 numbers there are 4 primes, so the probability of picking one is 4/10 = 2/5 = 0.4 In the first 100 numbers there are 26 primes, so the probability of picking one is 25/100 = 1/4 = 0.25 In the first 1,000 numbers there are 169 primes, so the probability of picking one is 168/1000 = 0.168 In the first 10,000 numbers there are 1,229 primes, so the probability of picking one is 0.1229 In the first 100,000 numbers there are 9592 primes, so the probability of picking one is 0.09592 In the first 1,000,000 numbers there are 78,498 primes, so the probability of picking one is 0.078498 In the first 10,000,000 numbers there are 664,579 primes, so the probability of picking one is 0.0664579 * Given any small value ε less than 1 and greater than 0, it is possible to find a number n such that the probability of picking a prime at random from the numbers 1-n is less than the given small value ε.
A box contains three coins 2 of them fair and one two headed coin select at random tossed twice heads appear both time what is the probability that the coin is two headed?
1/4
