Question

1.a. The survival rate during a risky operation for patients with no other hope of survival is 86%. What is the probability that exactly four of the next five patients survive this operation? (Give your answer correct to three decimal places.)

b. Of all the trees planted by a landscaping firm, 10% survive. What is the probability that 10 or more of the 12 trees they just planted will survive? (Use a table of binomial probabilities. Give your answer correct to four decimal places.)

c. If boys and girls are equally likely to be born, what is the probability that in a randomly selected family of 5 children, there will be at least one boy? (Find the answer using a formula. Give your answer correct to three decimal places.)

d. 21% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 6 rabbits, exactly 2 will have long hair? (Give your answer correct to three decimal places.)

e. Where does all that Halloween candy go? The October 2004
issue of *Readers' Digest* quoted that "83% of parents admit
taking Halloween candy from their children's trick-or-treat bags."
The source of information was the National Confectioners
Association. Suppose that 25 parents are interviewed. What is the
probability that 20 or more took Halloween candy from their
children's trick-or-treat bags? (Give your answer correct to three
decimal places.)

Answer #1

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21% of a certain breed of rabbits are born with long hair.
What is the probability that in a litter of 8 rabbits, exactly 2
will have long hair? (Give your answer correct to three decimal
places.)

Of all the trees planted by a landscaping firm, 65% survive.
What is the probability that 14 or more of the 16 trees they just
planted will survive? (Use a table of binomial probabilities. Give
your answer correct to four decimal places.)

1)Oxygen demand is a term biologists use to describe
the oxygen needed by fish and other aquatic organisms for survival.
The Environmental Protection Agency conducted a study of a wetland
area. In this wetland environment, the mean oxygen demand was
μ = 9.7 mg/L with 95% of the data ranging from 6.3 mg/L to
13.1 mg/L. Let x be a random variable that represents
oxygen demand in this wetland environment. Assume x has a
probability distribution that is approximately normal....

To properly treat patients, drugs prescribed by physicians must
not only have a mean potency value as specified on the drug's
container, but also the variation in potency values must be small.
Otherwise, pharmacists would be distributing drug prescriptions
that could be harmfully potent or have a low potency and be
ineffective. A drug manufacturer claims that his drug has a potency
of 5 ± 0.1 milligram per cubic centimeter (mg/cc). A random sample
of four containers gave potency readings...

To properly treat patients, drugs prescribed by physicians must
not only have a mean potency value as specified on the drug's
container, but also the variation in potency values must be small.
Otherwise, pharmacists would be distributing drug prescriptions
that could be harmfully potent or have a low potency and be
ineffective. A drug manufacturer claims that his drug has a potency
of 5 ± 0.1 milligram per cubic centimeter (mg/cc). A random sample
of four containers gave potency readings...

To properly treat patients, drugs prescribed by physicians must
not only have a mean potency value as specified on the drug's
container, but also the variation in potency values must be small.
Otherwise, pharmacists would be distributing drug prescriptions
that could be harmfully potent or have a low potency and be
ineffective. A drug manufacturer claims that his drug has a potency
of 5 ± 0.1 milligram per cubic centimeter (mg/cc). A random sample
of four containers gave potency readings...

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