Question

Question Help According to the label, a can of soup holds an average of 308 grams, with a standard deviation of 42 grams. Assuming a normal distribution, what is the probability that a can wil be sold that holds more than 300 grams? Click here for page 1 of the Areas der the Normal Curve Table Click here for page 2 of the Areas under the Normal Curve Table The probability that the can contains more than 300 g (Round to four decimal places as needed.)

Answer 1

a a can 309 According to the label, a can of soup holds an average of 308 grams, with standard deviation of 4.2 grame. Assuming normal distribution, What is the probability that a will be sold that holds more than grams ? Let random weight of can of soup then X~ N( 308, 4.2%) U = 308, 024.22 o = 4.2 Variable x denote the If X~ N(M, one then z=X-M ~ N(0,1) ZE X-308 4.2 ~ N(0, 1) be sold that we have to find the probability that a Can will holde more thon 309 grams ie P(x > 309) 30g - 308 PX - 308 o ) P(Z > A) = P(z>0.238095) ; where X-300 NN(0, 1) Z= 4.2. P(x>309) = 1 - pl 240.238095) Z=0 Z=0.238095 The Shaded Area Represent the Required probability,

P(x > 309) = 1 - P(Z20.238095) 1 - 0.594096294 [using Standard Normal dixdoubution table ] = 0.405903706 P(x>309) 0.4059 Round off 4 decimal place the can contains more The probability that than 309 gm is 0.4059 Ang NOTE: we calculate P(Z Co. 23 8095) using EXCEL NORM.S. DIST (0-238095 , TRUE) = 0.594096 294