probability distribution gives the possible values of the random variable and the probabilities of each random variable. Probabilities have to be between 0 and 1. The sum of all the probabilities has to be 1. Additionally, the different values for the random variable are disjoint possibilities. In other words P(X = a and X = b) = 0 if a and b are different outcomes.    Fill in the missing value for the probability distribution.  X P(X) 3 0.055 4 0.11 5 0.097 6 ? What is P(X=6)?

A point is chosen at random on AK. What is the probability that the point will be on BG? Don't forget to reduce. A B C D G H K + +%+ -10 -8 -6 -4 -2 4 8 10 Enter ANSWER = 1/2 DELL end F12 home prt sc F10 F5 F6 F7 F8 F9 F11

- In a classroom with two students, find the mean of the number of students who will be boys. The probability distribution is as follows: P(X) Мean:

Answer and solve 1-4, show all work and calculator work.

The probability that an event will happen is P(E)= 0.47. Find the probability that the event will not happen. The probability that the event will not happen is (Simplify your answer.)

You are eating a plateful of fried Shishito peppers. Most Shishito peppers are not very spicy, but about 1 in 10 are very spicy (for this question, assume it is exactly 1 in 10). You have a plate of 15 Shishito peppers. What is the probability that you make it through the plate without eating any spicy peppers? In addition to the probability statement, equation, and numerical answer, write the R function call you use. (round answer to 4 decimals) What is the probability that you make it through the plate eating at most 1 spicy pepper? (round to 4 decimals)   3. Let’s say that you have an infinite supply of peppers instead of just a plateful. Your friend is gleefully counting how many peppers you eat until you get a spicy one. Call this number Y . What distribution does Y follow?

Solve using R. Show all work.

According to the classical definition of probability A All the outcomes are equally likely. The probability is based on hunches. All the events are equally likely. D One outcome is exactly twice the other.

ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales   b. The probability that he makes AT MOST 16 sales

A binomial probability is given. Write the probability in words.​ Then, use a continuity correction to convert the binomial probability to a normal distribution probability.