Question

Math 309 Homework June 9, 2019 Bring solutions of these five problems to the class on Tuesday. I will collect your solutions This homework is worth 5 points. 1. Let X be a normal random variable with mean 5. If P[X > 8] = 0.3, what is the standard deviation of X? 2. Draw the region and determine, (a) 0.41 (b) 0.18 (c) 0.22 3. A manufacturer knows that, on average, 3% of items manufactured will have defects. Use the normal approximation to the binomial distribution to determine the probability that among 200 items, (a) at the most 5 will be defective (b) anywhere from 4 to 7 will be defective 4. Page 140, #5.26 5. Page 178 #5.109
please answer all questions

Answer 1

given dhat xN(S, wlerc in he stomdand cleviahion Also gien hat PCX78 人et 2: X- hem 2NNCO, an PCy7& O 3 3 PC27 PC27 o.3 P2 = /-0.3=0-7 From standard normel tabl ES O 5-6604 3 O.53