a survey indicated that 15% of residence of a country have a great deal of confi

Question

a survey indicated that 15% of residence of a country have a great deal of confidence in banks and financial institutions. If 16 residents of the country were chosen at random, find the probability that at least 3 residents had a great deal of confidence in banks and financial institutions. The probability that at least 3 residents had a great deal of confidence in banks and financial institutions is ____.

2. According to an article, 40% of all cars crossing a toll bridge have a commuter sticker. What is the probability that amoung 14 randomly selected cars waiting to cross, at least 2 have commuter stickers? The probability that at least 2 cars have commuter stickers is____.

3.10.6% of the population is 65 or older. find the probabilty that the following number of persons selected at random from 20 peopleare 65 or older. The probability that exactly 5 are 65 or older____.

The probaility at most 2 are 65 or older_____.

4. Set probabilty that at least 2 out of 96 randomly chosen people have the same birthday.

4.How many different 5-letter words can be made.

a. if the first letter must be A,Y,P OR L and no lettermay be repeated?

b.If repeats are allowed (but the first letter is A,Y,P, OR L)?

C.How many of the 5 letters words (starting with A,Y,P< or L) with no repeats end in J?

5. Pizza House offers 5 differentsalads, 6 different kinds of pizza, and six different desserts. how manydiffernt three course meals can be ordered?

6.If you are delat 3 cards from a shuffled deck of 52 cards, find the probabblity that 3 cards are clubs? The probability is____

7.A shipment of 8 computers contain 2 with defects. Find the probablity that a sample of size 2, drawn from the 8, will not contain a defective computer.What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?

8.Four coins are tossed, and the number of heads is recorded. Shade the region on the histogram that gives the indicated probability?

9.70% of the voters favor Ms. Stein. if 4 voters are chosen at random, find the probabilitythat all voters support Ms. Stein? The probabilty that all 4 voters support Ms. stein is___.

10.Let x determine a random variable, and use your knowledge of probabilty to prepare distribution.A family has two children and the number of boys is recorded. Assume an equal chance of boy or girl for each birth.Complete the probabilty distribution.

11. A coin is tossed 5 times. Find the probabity that none are tails. The probability that none are tails is____.

12. aA biologist is attempting to classify 800 species of insects by assigning 2 initials to each species. Is it possible to classify all the in this way? If not, how many intials should be used?

Explanation / Answer

Q-1

Let X denote the number of residents having confidence in bank, the X follows binomial distribution with n=16 and p=0.15

So, probability that at least 3 residents had a great deal of confidence in banks and financial institutions

=P(X>=3)

=1-P(X<=2)

=0.4386 using excel function =1-BINOMDIST(2,16,0.15,TRUE)

Q-2

Let X denote the number of cars crossing a toll bridge have a commuter sticker, the X follows binomial distribution with n=14 and p=0.40

So, probability that at least 2 cars have commuter stickers

=P(X>=2)

=1-P(X<=1)

=0.9919 using excel function =1-BINOMDIST(1,14,0.40,TRUE)

Q-3

Part-a

Let X denote the number of people >=65 years age, the X follows binomial distribution with n=20 and p=0.106

So, probability that exactly 5 are >65 years age

=P(X=5)

=0.0386 using excel function =BINOMDIST(5,20,0.106,FALSE)

The probability at most 2 are 65 or older

=P(X<=2)

=0.6426 using excel function =BINOMDIST(2,20,0.106,TRUE)

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