Express courier service has found that the delivery time for packages is normally distributed, with mean 13 hours and standard deviation 2 hours. (a) for a package selected at random, what is the probability that it will be delivered in 18 hours or less? (round your answer to four decimal places.) (b) what should be the guaranteed delivery time on all packages in order to be 95% sure that the package will be delivered before this time? (hint: note that 5% of the packages will be delivered at a time beyond the guaranteed time period.) (round your answer to one decimal place.)

Step-by-step explanation:

Express Courier Service has found that the delivery time for packages is normally distributed. So we use

z = (x - mean)/standard deviation

mean = 13

standard deviation = 2

x = time of delivery in hours

a) P(0 lesser than/equal to 18)

z = (18-13)/2 =5/2 = 2.5

Using the normal distribution table, the value is 0.9938

b) to be 95% sure, let the time be t

From the table, the equivalent of z that is 0.95 = 1.645

So 1.645 = (t-13)/2

t-13 = 3.29

t = 3.29+13= 16.29 hours

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.