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According to a recent poll by the pew internet project

Question: According to a recent poll by the Pew Internet Project, girls between the ages of 14 and 17 send an average of 187 text messages each day. Let X = the number of texts that a girl aged 14 to 17 sends per day. The discrete random variable X takes on the values x = 0, 1, 2. The random variable X has a Poisson distribution: X ~ P(187). The mean is 187 text messages.

a. What is the probability that a teen girl sends exactly 175 texts per day?

b. What is the probability that a teen girl sends at most 150 texts per day?

c. What is the standard deviation?

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Basic Statistics: According to a recent poll by the pew internet project

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