Let
- Find the standard deviation of
. (1 mark)
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- Find
. (2 marks)
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Let
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a.
b.
a. | ||
b. | ||
A card is drawn from a deck of red and blue cards. After verifying the colour, the card is replaced in the deck. This is performed four times.
Each card has a probability of
The colour of any drawn card is independent of the colour of any other drawn card.
Let
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a. Complete table
b.
c.
a. Using binomial distribution where
b. Trials are independent of first trial.
Binomial where
c. Trials are independent.
Binomial where
Shown below is the graph of
Let
For a certain population the probability of a person being born with the specific gene SPGE1 is
The probability of a person having this gene is independent of any other person in the population having this gene.
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a.
b. | ||
A fair standard die is rolled 50 times. Let
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a.
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c.
A paddock contains 10 tagged sheep and 20 untagged sheep. Four times each day, one sheep is selected at random from the paddock, placed in an observation area and studied, and then returned to the paddock.
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a.
b. | ||
c.
In a chocolate factory the material for making each chocolate is sent to one of two machines, machine A or machine B.
The time,
The time,
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All of the chocolates produced by machine A and machine B are stored in a large bin. There is an equal number of chocolates from each machine in the bin.
It is found that if a chocolate, produced by either machine, takes longer than 3 seconds to produce then it can easily be identified by its darker colour.
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a.i.
a.ii.
b.
c.
d.
It is known that 50% of the customers who enter a restaurant order a cup of coffee. If four customers enter the restaurant, what is the probability that more than two of these customers order coffee? (Assume that what any customer orders is independent of what any other customer orders.) (2 marks)
A biased coin tossed three times. The probability of a head from a toss of this coin is
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ii.
b.