Suppose s=x1+x2+x3+x4s=x1+x2+x3+x4 where x1,x2,x3,x4x1,x2,x3,x4 are mutually independent and xixi has the bernoulli distribution with parameter pi=i5pi=i5 for 1≤i≤4.1≤i≤4.what is p{s=1}? p{s=1}? present your answer with four digits

Determine the mean and variance of the random variable with the following probability mass function. f(x)=( 729divided by 91) (1 divided by 9) superscript x baseline comma x equals 1,2,3 round your answers to three decimal places (e. g. 98.765).

Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.