3. Given the following table of the autocorrelation function for the first 10 lags, calculate the value of the Ljung-Box test statistic. Should the hypothesis that the time series is white noise be rejected? There are 100 observations. k Pk 0 1.0000 1 -0.0325 2 0.0188 3 0.1267 4 -0.0493 5 -0.0840 6 -0.0878 7 -0.0346 8 0.1251 9 -0.0313 10 0.0927
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- Suppose that the number of accidents occuring in an industrial plant is described by a Poisson distribution with an average of 0.1 accidents per month. Find the probability that no accidents will occur in the coming month, P(X=0). (Correct to three decimal places).2) From the records of XYZ University, there were 1564 freshmen students who took the IQ test during 1t Sem of S.Y. 2018 – 2019. Assume that the IQ test scores are normally distributed with a mean of 108 and a standard deviation of 12. How many students have IQ scores (a) below 100; (b) above 120; and (c) betwe 95 and 125?Suppose that the lifetimes of TV gives are normally distributed with a standard deviation of 1.2 years. Suppose also that exactly 30% of the tubes die before 5 years. Find the mean lifetime of tv tubes. Carry your intermediate computations to at least 4 decimal places. Round your answer to at least one
- Supposethat the times taken for germination for cauliflower seeds are normally distributed with a mean of 6.8 days. Suppose also that exactly 85% of the cauliflower seeds germiante in 6.2 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round you answer to at least two decimal places. _____ daysSuppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 7 days. Suppose also that exactly 70% of the cauliflower seeds germinate in 6.2 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.cauliflower seeds germinate in 6 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places. Suppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 7 days. Suppose also that exactly 80% of the O days
- 3.2/9Suppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 6.9 days. Suppose also that exactly 70% of the cauliflower seeds germinate in 6 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places. daysSuppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 7.2 days. Suppose also that exactly 85% of the cauliflower seeds germinate in 5.9 days or more. Find the standard deviation of times taken for germination for cauliflower seeds.Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.