In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. Let the responses be X as normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Round your answers to 3 decimal places. Do not forget to put the zero in front of the decimal. A. Find the probability that a randomly selected study participant’s response was less than 4 P(X<4)=   B. Find the probability that a randomly selected study participant’s response was between 5 and 6.2. P(5

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In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. Let the responses be X as normally distributed, with a mean of 5.4 and a standard deviation of 2.2.

Round your answers to 3 decimal places. Do not forget to put the zero in front of the decimal.
A. Find the probability that a randomly selected study participant’s response was less than 4

P(X<4)=

 

B. Find the probability that a randomly selected study participant’s response was between 5 and 6.2.

P(5<X<6.2)=

 

C. If a participant's response is scaled at the 80% percentile, what was their approximate response ?

P(X<        )=80%

D. If a participant's response is in the top 2% of responses, the response has a scale of  

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