Privacy The responses of 562 Facebook users to a survey

Chapter 3, Problem 22E

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QUESTION:

The responses of 562 Facebook users to a survey about privacy are shown in the Pareto chart. Find each probability. (Adapted from GfK Roper Public Affairs and Corporate Communications)

(a) Randomly selecting a user who trusts Facebook a moderate amount

(b) Randomly selecting a user who trusts Facebook completely

(c) Randomly selecting a user who trusts Facebook a lot or completely

(d) Randomly selecting a user who does not trust Facebook at all or trusts Facebook only a little

Questions & Answers

QUESTION:

The responses of 562 Facebook users to a survey about privacy are shown in the Pareto chart. Find each probability. (Adapted from GfK Roper Public Affairs and Corporate Communications)

(a) Randomly selecting a user who trusts Facebook a moderate amount

(b) Randomly selecting a user who trusts Facebook completely

(c) Randomly selecting a user who trusts Facebook a lot or completely

(d) Randomly selecting a user who does not trust Facebook at all or trusts Facebook only a little

ANSWER:

Solution :

Step 1 of 4:

Given the pareto chart,

Our goal is:

a). We need to find the probability that randomly selecting a Facebook user who trust a moderate amount.

b). We need to find the probability that randomly selecting a Facebook user who trust a lot or completely.

c). We need to find the probability that randomly selecting a Facebook user who trust a lot or completely.

d). We need to find the probability that randomly selecting a Facebook user who does not trust at all or trusts Facebook only a little.

a). The probability that randomly selecting a Facebook user who trusts a moderate amount is

P (a moderate amount)

P (a moderate amount)

P (a moderate amount)  0.2793

Therefore, the probability that randomly selecting a Facebook user who trusts a moderate amount is 0.2793 or 27.93%.


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