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1. a large sample of college students was asked the following question:…

Question

  1. a large sample of college students was asked the following question: \how many social media accounts do you have?\ based on the responses given by the sample, a probability model, as shown below, was constructed.
number of social media accounts01234567 or more

a. based on the above probability model, what is the probability that a randomly selected college student from this sample will have at least three social media accounts?

Explanation:

Step1: Identify "at least three"

"At least three" means 3, 4, 5, 6, or 7 or more social media accounts.

Step2: Sum their probabilities

Find the probabilities for 3, 4, 5, 6, and 7 or more: \(0.22 + 0.18 + 0.07 + 0.04 + 0.01\).
Calculate the sum: \(0.22 + 0.18 = 0.4\); \(0.4 + 0.07 = 0.47\); \(0.47 + 0.04 = 0.51\); \(0.51 + 0.01 = 0.52\).

Answer:

\(0.52\)