The gypsy moth is a serious threat to oak and aspen trees. a state agriculture department places traps throughout the state to detect the moths. when traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. the distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7. (a) what are the mean and standard deviation of the average number of moths x⎯⎯⎯ in 65 traps? (b) use the central limit theorem to find the probability that the average number of moths in 65 traps is greater than 0.6. (a) mean: standard deviation: (b)

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Will give brainliest immeadeately true or false: the origin woud be included in the solution set for the inequality: y< 2x-5

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?