Sarah is examining the concession stands before going to

Question

STAT 225 Quiz

Sarah is examining the concession stands before going to watch a movie. The probability that she buys candy is 0.70. If she buys candy, there is a 0.40 probability that she will also buy popcorn and soda, a 0.40 probability that she will buy only soda and 0.2 probability she will buy nothing else. If she does not buy candy, she will buy popcorn and soda with probability 0.80 and 0.1 probability she buys only soda and 0.1 probability she buys nothing else. Let X represent the number of items (candy, popcorn, soda) that she
purchases.

1. Find the PMF of X.
2. Calculate E(X).
3. Calculate Var(X). 
P(A) = 1  P(Ac)
P(A j B) =
P(A \ B)
P(B)
P(A) = P(A \ B) + P(A \ Bc)
P(A j B) =
P(A) P(BjA)
P(A \ B) + P(A \ Bc)
P(A \ B) = P(A) P(BjA)
E(X) =
P
x p(x)
Var(X) = E(X2)  E(X)2
STAT 225 Quiz 3
September 20, 2013
NAME:
Directions: You have 10 minutes to complete the quiz. You are allowed a calculator as speci ed in the syllabus. If necessary, round decimal answers to 4 signi cant digits. Show all work to receive full credit. Instructors will not interpret questions for you. Sarah is examining the concession stands before going to watch a movie. The probability that she buys candy is 0.80. If she buys candy, there is a 0.40 probability that she will also buy popcorn and soda, a 0.40 probability that she will buy only soda and 0.2 probability she will buy nothing else. If she does not buy candy, she will buy popcorn and soda with probability 0.80 and 0.1 probability she buys only soda and 0.1 probability she buys nothing else. Let X represent the number of items (candy, popcorn, soda) that she purchases.
1. Find the PMF of X.
2. Calculate E(X).
3. Calculate Var(X).
P(A) = 1 P(Ac)
P(A j B) =
P(A \ B)
P(B)
P(A) = P(A \ B) + P(A \ Bc)
P(A j B) =
P(A) P(BjA)
P(A \ B) + P(A \ Bc)
P(A \ B) = P(A) P(BjA)
E(X) =
P
x p(x)
Var(X) = E(X2)  E(X)2
STAT 225 Quiz 3
September 20, 2013
NAME:
Directions: You have 10 minutes to complete the quiz. You are allowed a calculator as speci ed in the syllabus. If necessary, round decimal answers to 4 signi cant digits. Show all work to receive full credit. Instructors will not interpret questions for you. Sarah is examining the concession stands before going to watch a movie. The probability that she buys candy is 0.75. If she buys candy, there is a 0.40 probability that she will also buy popcorn and soda, a 0.40 probability that she will buy only soda and 0.2 probability she will buy nothing else. If she does not buy candy, she will buy popcorn and soda with probability 0.80 and 0.1 probability she buys only soda and 0.1 probability she buys nothing else. Let X represent the number of items (candy, popcorn, soda) that she purchases.
1. Find the PMF of X.
2. Calculate E(X).
3. Calculate Var(X).
P(A) = 1  P(Ac)
P(A j B) =
P(A \ B)
P(B)
P(A) = P(A \ B) + P(A \ Bc)
P(A j B) =
P(A) P(BjA)
P(A \ B) + P(A \ Bc)
P(A \ B) = P(A) P(BjA)
E(X) =
P
x p(x)
Var(X) = E(X2)  E(X)2
STAT 225 Quiz 3

Directions: You have 10 minutes to complete the quiz. You are allowed a calculator as speci ed in the syllabus. If necessary, round decimal answers to 4 signi cant digits. Show all work to receive full credit. Instructors will not interpret questions for you.
Sarah is examining the concession stands before going to watch a movie. The probability that she buys candy is 0.85. If she buys candy, there is a 0.40 probability that she will also buy popcorn and soda, a 0.40 probability that she will buy only soda and 0.2 probability she will buy nothing else. If she does not buy candy, she will buy popcorn and soda with probability 0.80 and 0.1 probability she buys only soda and 0.1 probability she buys nothing else. Let X represent the number of items (candy, popcorn, soda) that she purchases.

1. Find the PMF of X. (6 points)
2. Calculate E(X). (4 points)
3. Calculate Var(X). (5 points)
P(A) = 1  P(Ac)
P(A j B) =
P(A \ B)
P(B)
P(A) = P(A \ B) + P(A \ Bc)
P(A j B) =
P(A) P(BjA)
P(A \ B) + P(A \ Bc)
P(A \ B) = P(A) P(BjA)
E(X) =
P
x p(x)
Var(X) = E(X2) E(X)2

Answer 1

The below is a probability question regarding assessing the concession stands before going to watch a movie. Provide the accurate answer of the question. Sarah is examining the concession stands prior to going to watch a movie. The probability that she purchase candy is 0.70. If she purchases candy, there is a 0.40 probability that she will as well buy popcorn and soda, a 0.40 probability that she will purchase only soda and 0.2 probability she will purchase nothing else. If she doesn’t purchase candy, she will purchase popcorn and soda with probability 0.80 and 0.1 probability she buys only soda and 0.1 probability she purchases nothing else. Suppose X symbolize the number of items (that is, candy, popcorn and soda) that she purchases. 1) Determine the PMF of X. 2) Find E(X). 3) Find Var(X).