8. Gallant has a subscription to "free coffee" at Soakin' Bagels, but he still often tips the employees. (Goofus pays full price for coffee and does not tip.) If he doesn't tip it's usually because he doesn't have any $1 bills on hand. The following table gives the pmf of X, Gallant's tip each time he goes to Soakin' Bagels. Table 10.5.2. $0 $1$2 $3 P[Xx] 0.1 0.5 0.35 0.05 I a. Verify that the above pmf is indeed a pmf. b. What is the probability that Gallant tips? c. What is the average value of Gallant's tip each morning?
8. Gallant has a subscription to "free coffee" at Soakin' Bagels, but he still often tips the employees. (Goofus pays full price for coffee and does not tip.) If he doesn't tip it's usually because he doesn't have any $1 bills on hand. The following table gives the pmf of X, Gallant's tip each time he goes to Soakin' Bagels. Table 10.5.2. $0 $1$2 $3 P[Xx] 0.1 0.5 0.35 0.05 I a. Verify that the above pmf is indeed a pmf. b. What is the probability that Gallant tips? c. What is the average value of Gallant's tip each morning?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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![8. Gallant has a subscription to "free coffee" at Soakin' Bagels, but he still often
tips the employees. (Goofus pays full price for coffee and does not tip.) If he
doesn't tip it's usually because he doesn't have any $1 bills on hand. The
following table gives the pmf of X, Gallant's tip each time he goes to Soakin'
Bagels.
Table 10.5.2.
X
$0 $1
$2 $3
P[Xx] 0.1 0.5 0.35 0.05
=
a. Verify that the above pmf is indeed a pmf.
b. What is the probability that Gallant tips?
c. What is the average value of Gallant's tip each morning?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cef3050-b0aa-40af-9112-57cab04a18ba%2F10dc0e4b-f011-4efe-80c8-eb756a02634a%2Fy15j8j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Gallant has a subscription to "free coffee" at Soakin' Bagels, but he still often
tips the employees. (Goofus pays full price for coffee and does not tip.) If he
doesn't tip it's usually because he doesn't have any $1 bills on hand. The
following table gives the pmf of X, Gallant's tip each time he goes to Soakin'
Bagels.
Table 10.5.2.
X
$0 $1
$2 $3
P[Xx] 0.1 0.5 0.35 0.05
=
a. Verify that the above pmf is indeed a pmf.
b. What is the probability that Gallant tips?
c. What is the average value of Gallant's tip each morning?
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