The table below lists the results of a survey presented to 250 people to see if
ID: 3374677 • Letter: T
Question
The table below lists the results of a survey presented to 250 people to see if a correlation exists between gender and pet preference:Dog Cat Other pets Total Male 73 23 108 Female 47 Total 26 250 a. Complete the table. b. What is the probability that a randomly selected person is a male? c. What is the probability that a randomly selected person likes either dogs or other pets? d. What is the probability that a randomly selected person likes either dogs or cats? e. What is the probability that a randomly selected person likes only cats? f. What is the probability that a randomly selected person does not like dogs and cats? g. What is the probability that a randomly selected person likes dogs given that we are choosing a male? h. What is the probability that a randomly selected person likes other pets given that we are choosing a female? i. What is the probability that a randomly selected person likes cats given that we are choosing a male? j. What is the complement of random selected person being a male? k. Are the events of liking a dog or a cat mutually exclusive? The table below lists the results of a survey presented to 250 people to see if a correlation exists between gender and pet preference:
Dog Cat Other pets Total Male 73 23 108 Female 47 Total 26 250 a. Complete the table. b. What is the probability that a randomly selected person is a male? c. What is the probability that a randomly selected person likes either dogs or other pets? d. What is the probability that a randomly selected person likes either dogs or cats? e. What is the probability that a randomly selected person likes only cats? f. What is the probability that a randomly selected person does not like dogs and cats? g. What is the probability that a randomly selected person likes dogs given that we are choosing a male? h. What is the probability that a randomly selected person likes other pets given that we are choosing a female? i. What is the probability that a randomly selected person likes cats given that we are choosing a male? j. What is the complement of random selected person being a male? k. Are the events of liking a dog or a cat mutually exclusive?
Explanation / Answer
a. Complete the table.
b. What is the probability that a randomly selected person is a male?
Probability that randomly selected person is a male = 108/250 = 0.432
c. What is the probability that a randomly selected person likes either dogs or other pets?
Total number of person likes dogs = 165
Total number of person likes other pets = 26
Number of person likes dogs or othet pets = 165+26 = 191
Hence, the probability that a randomly selected person likes either dogs or other pets = 191/250 = 0.764
d. What is the probability that a randomly selected person likes either dogs or cats?
Total number of person likes dogs = 165
Total number of person likes cats = 59
Number of person likes dogs or cats = 165+59 = 224
Hence, the probability that a randomly selected person likes either dogs or cats = 224/250 = 0.896
e. What is the probability that a randomly selected person likes only cats?
Total number of person likes only cats = 59
Hence, the probability that a randomly selected person likes only cats = 59/250 = 0.236
f. What is the probability that a randomly selected person does not like dogs and cats?
Number of persons does not like dogs and cats that is only other pets is 26
Hence, the probability that a randomly selected person does not like dogs and cats is 26/250 = 0.140
g. What is the probability that a randomly selected person likes dogs given that we are choosing a male?
Number of males = 108
Number of males liking dogs = 73
Hence, the probability that a randomly selected person likes dogs given that we are chossing a male = 73/108 = 0.6759
h. What is the probability that a randomly selected person likes other pets given that we are choosing a female?
Number of females = 142
Number of females liking other pets = 3
Hence, the probability that a randomly selected person likes other pets given that we are chossing a female = 3/142 = 0.0211
i. What is the probability that a randomly selected person likes cats given that we are choosing a male?
Number of males = 108
Number of males liking cats = 12
Hence, the probability that a randomly selected person likes cats given that we are chossing a male = 12/108 = 0.1111
j. What is the complement of random selected person being a male?
Probability that randomly selected person being a male = 0.432
Complement of random selected person being a male = 1 - 0.432 = 0.568
k. Are the events of liking a dog or a cat mutually exclusive?
Yes, liking a dog or a cat are mutually exclusive events.
Dog Cat Other pets Total Male 73 12 23 108 Female 92 47 3 142 Total 165 59 26 250Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.