An online instructor sends updates to students via text. The probability model describes the number of text messages the instructor may send in a day.

Texts Sent 0 1 2 3 4 5
P(X) 0.05 0.05 0.1 0.1 0.4 0.3

How many texts would you expect the instructor to send each day?

1. what expression would be the same as 6x+x+0 2. find the prime factorization of 60 3. write the expression for 6 + x in words.

Find the solution(s) to the system of equations. select all that apply y=x^2-1 y=2x-2

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?