Question

A shipping company handles containers in three different sizes. 1. 27 ft (3x3x3) 2. 125 3. 512 Let X (-1. 2. 3) denote the number of type icontainers shipped during given week. With E X) and o-VX), suppose that the mean values and standard deviations are as follows. , - 350 W, 50W 150 9 - 10 - 8 - 12 Suppose that the X's are independent with each one having a normal distribution. What is the probability that the total volume shipped is at most 100,000 (Round your answer to four decimal places You may need to use the appropriate table in the Appendix of Tables to answer this question

Answer 1

PONO Answer:- Given that, in hands containers A shipping different company sizes. three 1.27 743 P. 195773 3.519473 41 = 350 | aolo M2=50 c2=8 43=150 I E3-12 Find P(x< 100,000) Expected total volume = (27x350)+(50x125) + (512x150) - 9450 + 6250 + 76800 u = 92500] Standard deviation : 1(87x1024(185*8)2+(512xiej? - V72900 + 1000000 + 37248736 - 138821636 156220.70

.pg no@ PLY<100,000) - Plz2x) =P/<< 109000 - 49500) 100,000 - 92500 6230.70 =PLZ< 1.203) = 0.8855 I. P(x<l00,08865 |