100 POINTS IF CORRECT!!! NEED WORK 1. Let X be a binomial random variable with n = 20 and p =. 3.

А.

p)"-* , then

evaluate it using your calculator. (1 point)

B. Using probability notation, P(X = x), write out all the probabilities yould need to add

up in order to calculate P(X < 6), and then evaluate it using your calculator. (1 point)

c. For part B, why did you choose the upper bound that you did? If you were using the

normal approximation could you choose a different upper bound? Why or why not?

(1 point)

Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third

A.s.a.! this is a similarity in right triangles. next (solve for x)a.) 12b.) 5c.) 12.5d.) [tex] 6\sqrt{3} [/tex]

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?