Question

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. The responses were normally distributed with a mean of 6.3 and a standard deviation of 2.1. Find tr he probably that the randomly selected study participant's response was between 4 and 6

Answer 1

solution:

the given information as follows:

mean = = 6.3

standard deviation = = 2.1

we have to find the probability of randomly selected participant's responsen is between 4 and 6 = P(4 < X < 6)

P(4 < X < 6) = P(X < 6) - P(X - 4)

for x = 6, z score will be as follows

for x = 4

P(4 < X < 6) = (value of z to the left of -0.14) - (value of z to the lerft of -1.1)

P(4 < X < 6) = 0.4443 - 0.1357 = 0.3086