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 5.8 and a standard deviation of 2.1 Answer parts (a)dash–(d) below. a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is
Here to calculate the required probability we change the given normal distribution to standard normal distribution by location and scale transformation. Then from the standard normal distribution table we calculate the probability.
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