Question

the high tempature in chicago for month of august is approximately normally distributed with mean 80 f and standard deviation of 8 f

2. The high temperature in Chicago for the month of August is approximately normally distributed with mean u = 80° F and standard deviation o = 8' F. a. What is the probability that a randomly selected day in August has a high temperature less than 78°F ? b. What is the probability that a random sample of 25 days in August has a mean high temperature less than 78' F?

Answer 1

Sol. o z Given that M=80 02_0.64 750.8 PCX<78) = P(x<(78-80) 1018) = P(x5-95) [p = 0.0062) n-6 P = 0.0062 binomiale probabilitar dis Gibution

© Formular Formula! Pok out of n) = n!.X PP x q-K /x! X(n+x)! PCX<2) = 6!X0,0062'x0.993867! / !* C6- D! +51X0 *0.993860/0!16-0 = 0.0361 +0.9634 - 0.9994. Si. P(X<2) = 0.9994)