SOLUTION: The temperature (in ◦C) at noon on a summer day is a normal random variable X with µ = 30.10 and σ2 = 5.76. What is the probability of the event that noon temperature on a sele

Algebra ->  Probability-and-statistics -> SOLUTION: The temperature (in ◦C) at noon on a summer day is a normal random variable X with µ = 30.10 and σ2 = 5.76. What is the probability of the event that noon temperature on a sele      Log On


   



Question 1159832: The temperature (in ◦C) at noon on a summer day is a normal random variable X with µ = 30.10 and σ2 = 5.76. What is the probability of the event that noon temperature on a selected summer day is between 30.22◦C and 35.5◦C? *
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
sigma^2=5.76
sigma =2.4
want z of 30.22 which is (30.22-30.10)/2.4=0.12/2.4=0.05
and z of 35.5 which is (35.5-30.10)/2.4=5.4/2.4=2.25
probability of z between those two is 0.4678
or 2nd VARS 2 normalcdf (30.22,35.5,30.10,2.4) ENTER