Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with α = 5 and β = 3.
(a) Compute E(X) and V(X).
(b) Compute P(X ? 0.2).
(c) Compute P(0.2 ? X ? 0.6).
(d) What is the expected proportion of the sampling region not covered by the plant?

Question b of 10which of the following describe an angle with a vertex at a? check all that applyo a. labcов. савd dooo c_baco d. zacb

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?

Acylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. what is the radius of the cone? a) 3 cm b) 5 cm c) 7 cm d) 9 cm