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40. (i) For a Binomial variate x ifp:q=3: 2 then find the value of p.
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(11) A dice is constructed in a way so that in every trial, the probability
of getting an even number is three times more than that of getting
an odd number. Then out of 5 trials, find the probability that
(1) all the five times even number
(2) at the most one time odd number will occur.
Answers
Answer:
There are a set number of trials. Think of tests as tests. The letter n indicates the number of trials.
There are only two possible outcomes, called “success” and “failure,” in each trial. The letter p indicates the probability of success in one test, and q indicates the probability of failure in one test. p + q = 1.
Step-by-step explanation:
Trials n are independent and repeated using the same conditions. Because n-tests are independent, the result of one test does not help to predict the outcome of another test. One way to say this is that in each test, probability, p, success and probability, q, failure remains the same. For example, random guessing at a false statistics question has only two consequences. If success is guessing right, failure is the wrong guess. Suppose Joe always guesses correctly in any statistics a true-false question that may be p = 0.6. Then, q = 0.4. This means that for every real false math question Joe answers, his chances of success (p = 0.6) and his chances of failure (q = 0.4) remain the same.
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