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The length of a social media interaction is normally distributed with a mean of 3 minutes and a standard deviation of 0.4 minutes.


What is the probability that an interaction lasts longer than 4 minutes?



1)0.0045254

2)0.043351

3)0.0095254

4)0.006209

Verified Answer :

jaylin776

Your answer is the last one. 

JeanaShupp

Answer:   4) 0.0062097

Step-by-step explanation:

Given : The length of a social media interaction is normally distributed with a mean of \(\mu=3\) minutes and a standard deviation of \(\sigma=0\) minutes.

Using the formula , \(z=\dfrac{x-\mu}{\sigma}\), the z-value corresponding to x=4 will be :-

\(z=\dfrac{4-3}{0.4}=2.5\)

Using the standard normal distribution table for z-value , the  probability that an interaction lasts longer than 4 minutes will be :-

\(P(z>2.5)=1-P(z\leq2.5)=1-0.9937903=0.0062097\)

Hence, the probability that an interaction lasts longer than 4 minutes = 0.0062097

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