Amilk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both normal calorie and lighter calorie options. The number of cartons of each type is divided according to the following table. Let R S=the event that the carton contains soy milk, N= the event that the carton has normal caloric content, and L=the event that the carton has lighter caloric content. A carton is chosen at random. Complete parts (a) through (f) below. Normal Calorie Low Calorie Regular Soy a. Find P(RN) and P(RUN). First determine the formula to use to find P(RN). Let C be the sample space. PRON)= ▾ PRnN) = (Simplify your answer.) Determine the formula to use to find P(RUN). PRUN) Y PRUN) - (Simplify your answer.) b. Find PL n S) and PLUS). PIL ns)-(Simplify your answer.) PIL US) (Simplify your answer.) c. Find the odds in favor of R occurring First write an expression for the desired odds. Select all that apply. A. P(R):(1-P(R')) C. (1-P(R')): P(R) E. P(R):P(R) The odds in favor of R occurring in lowest terms, are (Type whole numbers) B. P(R):(1-P(R)) D. P(R):P(R) OF 1-P(R):P(R) the event that the carton contains regular milk
Amilk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both normal calorie and lighter calorie options. The number of cartons of each type is divided according to the following table. Let R S=the event that the carton contains soy milk, N= the event that the carton has normal caloric content, and L=the event that the carton has lighter caloric content. A carton is chosen at random. Complete parts (a) through (f) below. Normal Calorie Low Calorie Regular Soy a. Find P(RN) and P(RUN). First determine the formula to use to find P(RN). Let C be the sample space. PRON)= ▾ PRnN) = (Simplify your answer.) Determine the formula to use to find P(RUN). PRUN) Y PRUN) - (Simplify your answer.) b. Find PL n S) and PLUS). PIL ns)-(Simplify your answer.) PIL US) (Simplify your answer.) c. Find the odds in favor of R occurring First write an expression for the desired odds. Select all that apply. A. P(R):(1-P(R')) C. (1-P(R')): P(R) E. P(R):P(R) The odds in favor of R occurring in lowest terms, are (Type whole numbers) B. P(R):(1-P(R)) D. P(R):P(R) OF 1-P(R):P(R) the event that the carton contains regular milk
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:d. Find the odds against L occurring.
First write an expression for the desired odds. Select all that apply.
A. (1-P(L')):P(L)
C. 1-P(L): P(L)
E. P(L): (1-P(L))
The odds against L occurring, in lowest terms, are
(Type whole numbers.)
e. Find the odds in favor of RnL occurring.
First write an expression for the desired odds. Select all that apply.
A. P(ROL):P ((ROL))
C. (1-P(RnL)):P(RnL)
E. P(ROL): (1-P(RL))
The odds in favor of R n L occurring, in lowest terms, are:
(Type whole numbers.)
f. Find the odds against S U N occurring.
First write an expression for the desired odds. Select all that apply.
A. (1-P ((SUN)')):P(SUN)
пс P/SLIN))/1-P//SLINY
B. P(L'): P(L)
D. P(L): (1-P(L'))
F. P(L):P(L')
B. P(ROL): (1-P ((ROL)))
D. (1-P((RL))) :P(RL)
OF. P((ROL)) :P(ROL)
B. (1-P(SUN)): P(SUN)
□D P/SLIN) (1P/SLIN)
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A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both normal calorie and lighter calorie options. The number of cartons of each type is divided according to the following table. Let R = the event that the carton contains regular milk,
S = the event that the carton contains soy milk, N = the event that the carton has normal caloric content, and L = the event that the carton has lighter caloric content. A carton is chosen at random. Complete parts (a) through (f) below.
Normal Calorie Low Calorie
Regular
Soy
40
28
15
16
a. Find P(Rn N) and P(R U N).
First determine the formula to use to find P(RN). Let C be the sample space.
P(RON)=
P(RON)= (Simplify your answer.)
Determine the formula to use to find P(R U N).
P(RUN) =
P(RUN) =
b. Find P(L n S) and P(L US).
P(Ln S)=
(Simplify your answer.)
(Simplify your answer.)
P(LUS)=
(Simplify your answer.)
c. Find the odds in favor of R occurring.
First write an expression for the desired odds. Select all that apply.
A. P(R):(1-P(R'))
C. (1-P(R')): P(R)
E. P(R): P(R')
The odds in favor of R occurring, in lowest terms, are
(Type whole numbers.)
-C
B. P(R): (1-P(R))
D. P(R'): P(R)
F. 1-P(R):P(R)
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