5.3.37 ___A TVshow, Lindsay and Tobias, recently had a share of 30 meaning that

Question

5.3.37 ___A TVshow, Lindsay and Tobias, recently had a share of 30 meaning that among the TV sets in use, 30% were tuned to that show. Assume that an advertiser wants to verify that 30% share value by conducting its ownsurvey, and a pilot survey begins with 20 households having TV sets in use at the time of a Lindsay and Tobias broadcast.

Find the probability that none of the households are tuned to Lindsay and

Tobias.

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Find the probability that at least one household is tuned to Lindsay and

Tobias.

5.3.42____An airline has a policy of booking as many as 1212 persons on an airplane that can seat only

1111. (Past studies have revealed that only 86.086.0% of the booked passengers actually arrive for theflight.)

Find the probability that if the airline books 1212 persons, not enough seats will be available. Is it unlikely for such an overbooking tooccur?

5.3.43___A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 1515 tablets, then accept the whole batch if there is only one or none thatdoesn’t meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 33% rate of defects, what is the probability that this whole shipment will be accepted?

The probability that this whole shipment will be accepted is _________.

Explanation / Answer

37)

p = 0.3

n = 20

P(x=0) = 20C0 * 0.3^0 * 0.7^20 = 0.000798

P(X >=1) = 1- P(x<1)

= 1 - P(x=0)

= 1 -0.000798

= 0.9992

42)

not enough seats if more than 1112 people appear

=>

P(1111 < x < 1212) = 1 - P(x<1111)

= 1 - binomdist(1111,1212,0.86,TRUE)

=0.0000000004708630152

yes, it is unlikely

43)

P(x<=1) = P(x=0) + P(x=1)

= 1515C0 * 0.33^0 * 0.67^1515 + 1515C1 * 0.33 * 0.67^1514

= 0

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