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Effectus [21]
2 years ago
6

The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of 0.7 m

inutes. What is the probability that a conversation lasts longer than 6 minutes? 0.045 0.077 0.955 0.922
Mathematics
2 answers:
zloy xaker [14]2 years ago
8 0
The probability of the message lasting longer than six minutes is 0.955. I hope this helps!
krek1111 [17]2 years ago
4 0

Answer:

0.077

Step-by-step explanation:

Data:

u = 5

σ = 0.7

x = 6

Calculation:

P(X>x)=P(z>\frac{x - u}{devst})

P(X>6)=P(z>\frac{6-5}{0.7})

P(X>6)=P(z>\frac{1}{0.7})

P (X> 6) = P [z> 1.43]

To find z> 1.43 in the normal distribution graph, we must subtract from the total probability (which is 1) the value of z <1.43 (note that the sign of inequality has been changed). So, we have

P (X> 6) = 1 - P [z <1.43]

We look in the normal distribution table for the z-score of 1.43, and get 0.92364. So,

P(X>6) = 1 - 0.92364

P(X>6) = 0.076564

P(X>6) = 0.077 (Rounded)

Hope this helps!

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Answer:

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Step-by-step explanation:

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