1. A survey performed by Verizon wireless in regards to the preferences of the c
ID: 1218916 • Letter: 1
Question
1. A survey performed by Verizon wireless in regards to the preferences of the color for cell phone covers showed the following results:
(a) Calculate the probability that a randomly selected person like purple cell phones the best.
(b) Calculate the probability that red or black are the favorite colors.
(c) Given that a person is less than 21 years old, what is the probability that black is the favorite color?
(d) Given that a person is older than 21 years old, what is the probability that red is the favorite color?
(e) Given that a person is older than 21 years old, what is the probability that pink is the favorite color?
(f) Given that a person is older than 21 years old, what is the probability that red, green, or black is the favorite color?
Explanation / Answer
Nothing being mentioned about the probablility of how random it is for a person to be selected from the population being from Age less than 21 years or Age greater than 21 years. So less us assume that it is equally likely to choose a person from the population to be age less than or equal to 21 and greater than 21(Both probablility = 1/2)
1. (a) Calculate the probability that a randomly selected person like purple cell phones the best.
Probability (Like Purple) = 1/2* 5/100 + 1/2 * 10/100 = 5/200+ 10/200 = 15/200 = 3/40
2. (c) Given that a person is less than 21 years old, what is the probability that black is the favorite color?
It should be 25 / 100 as there are 25 people in this group whose favourite is black.
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