6.2.4 A random variable follows the normal probability distribution with a mean
ID: 3066116 • Letter: 6
Question
6.2.4 A random variable follows the normal probability distribution with a mean of 125 and a standard deviation of 21. Complete parts (a) througl Click here to view page 1 of the standard normal probability table, Click here to view page 2 of the standard normal probability table, a) What is the probability that a randomly selected value from this population is between 109 and 133? 0.4244 (Round to four decimal places as needed.) b) What is the probability that a randomly selected value from this population is between 131 and 161? 0.3443 (Round to four decimal places as needed.) c) What is the probability that a randomly selected value from this population is between 82 and 99? (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All part remainingExplanation / Answer
]mean=125
sd=21
P(82<X<99)
P(82-125/21<Z<99-125/21)
=P(-2.05<Z<-1.24)
=P(Z<-1.24)-P(Z<-2.05)
=(1-P(z<1.24)-(1-P(z<2.05)
=(1-0.8925)-(1-0.9798)
=0.0873
ANSWER:0.0873
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