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1. An investor purchased 100 shares of Bank stock and 100 shares of Cooper Elect

ID: 3040987 • Letter: 1

Question

1. An investor purchased 100 shares of Bank stock and 100 shares of Cooper Electric stock. The probability the Bank stock will appreciate over a year is 0.65. The probability Cooper Electric stock will increase over the same period is 0.53. (Round the final answers to 2 decimal places.)


What is the probability that both stocks appreciate during the period?



What is the probability that the Bank stock appreciates and the Cooper Electric stock does not?



What is the probability at least one of the stocks appreciate?


  Probability:

2. Assume the likelihood that any flight on Delta Airlines arrives within 15 minutes of the scheduled time is 0.86. We select two flights from yesterday for study. (Round the final answers to 4 decimal places.)


What is the likelihood all two of the selected flights arrived within 15 minutes of the scheduled time?



What is the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time?



What is the likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time?


1. An investor purchased 100 shares of Bank stock and 100 shares of Cooper Electric stock. The probability the Bank stock will appreciate over a year is 0.65. The probability Cooper Electric stock will increase over the same period is 0.53. (Round the final answers to 2 decimal places.)

Explanation / Answer

1)

a) probability that both stocks appreciate during the period =0.65*0.53 =0.3445

b)robability that the Bank stock appreciates and the Cooper Electric stock does not =0.65*(1-0.53)=0.3055

c) probability at least one of the stocks appreciate=1-P(none apreciates) =1-(1-0.65)*(1-0.53)=0.8355

2)

a)likelihood all two of the selected flights arrived within 15 minutes of the scheduled time=0.86*0.86 =0.7396

b)  likelihood that none of the selected flights arrived within 15 minutes of the scheduled time

=(1-0.86)*(1-0.86)=0.0196

c) likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time

=1-0.7396 =0.2604