Question: 1) Assume the random variable x is normally distributed with mean =81 and standard deviation =4. Find the indicated probability. P(68
1) Assume the random variable x is normally distributed with mean =81 and standard deviation =4. Find the indicated probability.
P(68 P(68 (Round to four decimal places asneeded.) 2) In a recent study on worldhappiness, participants were asked to evaluate their current lives on a scale from 0 to10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normallydistributed, with a mean of 5.2 and a standard deviation of 2.2. Answer parts (a)-(d) below. (a) Find the probability that a randomly selected studyparticipant's response was less than 4. The probability that a randomly selected studyparticipant's response was less than 4 is . (Round to four decimal places asneeded.)
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