D Sporsmal 1 1 poeng Let v be a positive integer. What kind of distribution do we get if set o = 1/2 and B = 2 in the gamma distribution? O Weibull distribution O Lognormal distribution O Exponential distribution O x- -distributionD Sporsmal 2 1 poeng Consider a random variable X that is standard normal distributed, i.e. X ~ NV(0, 1). What is E(X' )? O E(X?) = 0 O E(X?) = 4 O E(X' ) = 1 O E(X' ) = -0.5D Sporsmal 3 1 poeng Suppose X1, X2, ..., Xn are iid exponentially distributed, each with expectation B. Which distribution does Y = max(X1, X2, ..., Xn ) have? O Exponential distribution with mean B O Exponential distribution with mean no O Something else O Gamma distribution with shape parameter o = n and scale parameter BD Sporsmal 4 1 poeng The time between two consecutive events in a Poisson process is O lognormal distributed O Weibull distributed O normal distributed O expontential distributedSporsmal 5 1 poeng What kind of properties do we wish that an estimator O fulfill? O E(0) = 0 and Var(0 )as small as possible O 0 ~ N(0, 1) O E(0) # 0 and Var(0) as small as possible O E(0) = 0 and Var(0 ) as large as possibleSporsmal 6 Suppose X1, X2 ? . . . ,1}; are i.i.d. Weibull distributed with parameters o: 2: D and 2} {1 Which distribution does Y = mi{X1,X2, . . . , X\") have? ' Weibull distribution with parameters m1 and Gamma distribution with parameters no: and Exponential distribution with mean 11.15 Normal distribution with mean :1 and variance fn Sprsml ? 1 poeng Assume that on 12 test areas different wheat types were planted. After the haryest, these areas resulted into following yield per hectare 35.5; 333'. 3?.3; 31.2; 3?.2; 34.1; 35.3; 36.6; 3?.1; 34.5}; 36.6 and 34.0. From experience we know that the yields per hectare are independent and normally distributed random variables with the parameters p. and oi. Estimate the mean yield per hectare. 32.225 35.3?5 ' 424.566 386.?00