Question

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minutes. What is the probability that a conversation lasts longer than 3 minutes?

0.043351
0.063748
0.02275
0.095424

Answer 1

Let x be a random variable representing the length of a text messaging conversation, then
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275

Answer 2

The probability that a conversation lasts longer than 3 minutes is 0.02275.

How to Calculate the Probability

Given:

• Mean= 2 minutes
• Standard deviation= 0.5 minutes

We would use x to denote the random variable.

Next to find the probability that a conversation lasts longer than 3 minutes is:

P(x > 3) = 1 - P(x < 3)

1 - P(z < (3 - 2)/0.5)

= 1 - P(z < 2)

= 1 - 0.97725

= 0.02275

Read more about probability here:

https://brainly.com/question/24756209

#SPJ2