working time of T ~ Γ(3, 1.2). When the drilling gear box fails, it is replaced by a new one. What is the probability that fewer than 3 drilling gear boxes fail at least in 1 day of drilling.
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composition of a new farming site. Under extreme heat, the drilling gear box has an operating
working time of T ~ Γ(3, 1.2). When the drilling gear box fails, it is replaced by a new one. What
is the probability that fewer than 3 drilling gear boxes fail at least in 1 day of drilling.
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- A study of the isopluvial maps revealed that at Najaf Al-Ashraf a maximum rainfall depth of 175 mm in 18 hr has a return period of 100 years. The probability of an 18 hr rainfall equal to or greater than 175 mm occurring at Najaf Al-Ashraf at least once in 50 years isAssume the time required to fully recharge an electric car is uniformly distributed between 160 and 220 minutes. What is the expected charge time, E(x)?Let X1, . . . , Xn be iid with pdf f(x) = 1 x √ 2πθ2 e − (log(x)−θ1) 2 2θ2 , −∞ < x < ∞, and unknown parameters θ1 and θ2. Find the maximum likelihood estimators for θ1 and θ2, respectively
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- A researcher hypothesizes that electrical stimulation of the lateral habenula will result in a decrease in food intake (in this case, chocolate chips) in rats. Rats undergo stereotaxic surgery and an electrode is implanted in the right lateral habenula. Following a ten day recovery period, rats (kept at 80 percent body weight) are tested for the number of chocolate chips consumed during a 10 minute period of time both with and without electrical stimulation. The testing conditions are counter balanced. Compute the appropriate t-test for the data provided below. Stimulation No Stimulation 12 8 7 7 3 4 11 14 8 6 5 7 14 12 7 5 9 5 10 8 a) What would be the null hypothesis and alternative hypothesis in this study? b) What is your tcrit? c) Is there a significant difference between the two groups? d) Interpret your answer. e) Write out your t-value in APA format. *ANSWER ALL PARTS OF THE QUESTION*Let i_t denote the effective annual return achieved on an equity fund achieved between time (t -1) and time t. Annual log-returns on the fund, denoted by In(1 + i_t) , are assumed to form a series of independent and identically distributed Normal random variables with parameters u = 6% and o = 14%.An investor has a liability of £10,000 payable at time 15. Calculate the amount of money that should be invested now so that the probability that the investor will be unable to meet the liability as it falls due is only 5%. Using only formulas, no tablesA second student keeps buying chocolate bars until he finds a prize voucher. Let Y denote the number ofbars he buys before getting a bar with a prize voucher.a. What down the probability mass function of Y and verify whether it is pmf or not.b. If each bar costs 35 taka, what is the expected cost to the second student?
