In an experiment. 34% of lab mice cells exposed to chemically produced cat Mups responded positively (i.e.. recognized the danger of the lurking predator). Consider a sample of 100 lab mice cells. each exposed to chemically produced cat Mups. Let x represent the number of cells that respond positively. Complete parts a through d below. at Explain why the probability distribution of x can be approximated by the binomial distribution. There are identical trials. For each trial, there V possible outcome(s). The probability of each possible outcome V for each trial, and the trials are all Y b. Find E(x) and interpret its value. practically. E(x) = (Round to the nearest whole number as needed.) Interpret this value. Choose the correct answer below. . Exactly E(x) cells out of 100 will respond positively in similar experiments. . On average E(x) cells out of 100 will respond positively in similar experiments. . At most E(x) cells out of 100 will respond posttively in similar experiments. \":i' D. At least E(x) cells out of 100 will respond positively in similar experiments. c. Find the variance of x. The variance of x is . (Round to two decimal places as needed.) d. Give an interval that is 95% likely to contain the value of x. Using the empirical rule. x is likely in the interval ( . ). (Round to one decimal place as needed.)