#11 (a) consider a t distribution with 9° of freedom. Compute P(t>1.76). Round your answer to at least three decimal places. **suppose to be greater than or equal to sign** P(t>1.76)= (b) consider a t-distribution was 90° of freedom. Find the value c such that P(-c
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- please solution about C D and EQ3. Exponential Distribution has a memoryless property. Intuitively, it means that the probability of customer service answering you call (assuming waiting time is exponential) in the next 10 mins is the same, no matter if you have waited an hour on the line or just picked up the phone. Formally, if X ∼ exponential(λ), f(x) = λ exp(- λx), and t and s are two positive numbers, use the definition of conditional probability to show that P(X > t + s | X > t) = P(X > s).Hint: Find the cdf of X first, and note that P(X > t + s Ç X > t) = P(X > t + s)Number 2
- 8#20 solve with applications of normal distribution(a) Consider at distribution with 15 degrees of freedom. Compute P (t>-1.83). Round your answer to at least three decimal places. P(t>-1.83)= [ (b) Consider at distribution with 4 degrees of freedom. Find the value of c such that P(-cLet T represent the lifetime in years of a part which follows a Weibull distribution with shape 2 and scale 5. (a) What is E(T )? Make sure to simplify the gamma function in terms of pi.(b) What is V(T )? Make sure to simplify the gamma function in terms of pi.(a) Consider a t distribution with 10 degrees of freedom. Compute P (tz -1.94). Round your answer to at least three decimal places. P(t2 - 1.94) = | (b) Consider a t distribution with 26 degrees of freedom. Find the value of c such that P (-c6bRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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