Problem 5 please. 7:42 PM oooo AT&T; Wi-Fi F 1 64% blackboard olemiss.edu e What
ID: 3218663 • Letter: P
Question
Problem 5 please. 7:42 PM oooo AT&T; Wi-Fi F 1 64% blackboard olemiss.edu e What is the variance and standard deviation of paint thickness 2 of 2 ing die i comidered as Bemoulitrials A far die is solled eight me Calculate the probability that Exactly fve even mambers. Exactly lead six prime number. Problem On average there are four accidents inaciy during one hour ofruh baur trafie. Usethe Poisson calculate the probability that in ene such heurthere are by least accidents. The amount of sugar contained in I packets is actually normally distributed with a mean of standard deviation ofa 0014 kg a What proportion sugar packets bylf an athemative package-filing machine isused for whichthe weights of the packets are nonmally distributed with a mean of kg and a standard deviation of e -0016 kg.does this result in an increase a decrease in the proportion of underweightpackets? Problems. The resistance ofonemotor of eepper cable at certain temperature is nomally distibuted with mean and variances -1.28. a What is the probability thataoneeseter segment ofeoppereable hasaresistance lessthan 230? byWhat is the probability thataene meter sepment of copper cable has a resistance greater tan240? e What the probability thataone acter segment of copper cable has a resistance between 242 and Suppose that a fair coin istossed untimes Estimate the prababilitythat the proportion heads obtained less 00.200.500, 1000 and 2000.Explanation / Answer
µ = 23.8 , = 1.28 = 1.1314
a) Prob(resistance is less than 23) = P(Z < (X-µ)/ ) = P(Z < (23-23.8)/1.1314)
= P(Z< -0.707)
= 0.2420 ( from the Z table )
b) Prob(resistance is greater than 24) = P(Z > (24-23.8)/1.1314)
= P(Z > 0.1767) =1- P(Z < 0.18) = 1 – 0.5714 ( from the Z table )
=0.4286
c) Prob(resistance lies between 24.2 and 24.5)
= P( (24.2-23.8)/1.1314 < Z < (24.5-23.8)/1.1314)
= P( 0.3535 < Z < 0.6187) = P(Z < 0.62) – P(Z < 0.35)
= 0.7324 – 0.6368 ( from Z table)
= 0.0956