Test:Chapter 4 Test nme Remaining: 003642 Sbnt This Question: 1 pt 11of20(11comp

Question

Test:Chapter 4 Test nme Remaining: 003642 Sbnt This Question: 1 pt 11of20(11complete This Test: 20 pts pos Find the indicated probabibies using the geometric distribution, the Posson dstrbution, or the binomial distribution. Then delermine if the events are unusual convenient, use the appropriate probability table or technokegy to find the The mean number of oll tankers at a port city i 12 per day The port has facilities to hande up to 14 ol tankers in a day Find the prebebility that on a given dey, (e) twelve of tankers wilamive, (b) at most thvee of tenkers willamive, and (el teo a) Pitwelve ail tenikers wil arive). Round to four decimal places as needed.) b) Plat most three ail tankers wil arwe) Round to four decimai places as needed.) Round to four decimal places as needed) B. The overt n part (DJ&unusual.; C. The e ent in panc) isunALI D. None one events wo unusual Click to seiect your arewers 7 9 3 5

Explanation / Answer

We use binomial distribution to solve part a, b, c

Mean =np=12, n=14 therefore p=12/14 = 0.857

a) Probability of 12 oil tanker arrive = 0.2921

b) Probability of at most 3 oil tankers arrive,

P(x>=3) = 0.9999

C) Probability that too many oil tanker will arrive = 1 - probability that none of the oil tanker arrive

  = 1 - p(x=0)

= 1 - 0.000001

= 0.9999

None of the event are unusual.

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