(0) Σ n=0 6 + 8n + n2 3 + 2n + 9n2

This option Tis option Question * Suppose the following data points are generated by a smooth function /(x): 1/3 2/3 4/3 5/3 2. Sx) 1.8415 1.9954 1.7231 1.1411 0.4987 0.0710 0.0411 The approximation of f(x) dx using the trapezoidal rule with 3 sub-intervals is: 1.4732 1.2373 This option This option None of the answers 2.1087 This option This option Question*

For a binomial distribution with parameters n=25 and p=0.70, determine the continuity correction for normal approximation for: a)   P( X = 20)                                       b)  P( X > 20)                              c) P(X ≤  20)                         d)  P(X≥ 20)

) Determine the mean (μ!" ) of sample means distribution (x#-distribution).b) Determine the standard deviation (standard error) (σ!" ) of sample means distribution(x#-distribution).c) Draw a Normal (bell-shaped) graph for sample means distribution (x#-distribution) byhand on a paper showing x and y axes without any values marked on them. However,label the values of mean and standard deviation as described below.  The adult male heights in a country vary normally with mean of 70 inches and standarddeviation of 4 inches. We draw many samples of size 100 from the above populationusing repeated random sampling and record the mean height for each sample to constitutea sample means distribution (x#-distribution). Do the above for the distribution.