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STAT 122/224

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Created by Oladeji Timilehin Daramola

STA 122/224

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Tay-Sachs disease is a rare but fatal disease of genetic origin occurring chiefly in infants and children, especially those of eastern European extraction. If a couple are both carriers of Tay Sachs disease, a child of theirs has probability 0.25 of being born with the disease. If such a couple has four children, what is the probability that all the children will have the disease ?

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There are two car factories, A and B .Each year ,factory A produces 1000 cars, of which 10 are lemons. Factory B produces 2 cars, which are lemons .All cars go to a single lot, where they are thoroughly mixed up. I buy a car .What is the probability that it is a lemon?

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An experiment has four equally likely outcomes :E1,E2,E3,andE4.What is the probability that any three of the outcomes occur(e.g.,E1or E2or E4)?

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If the largest value of a data set is doubled ,which of the following is false?

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Two events A and B are mutually exclusive if

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Constructing a frequency distribution

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Two events ,A and B are mutually exclusive and each have a non zero probability .If event A is known to occur ,the probability of the occurrence of event B is

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Suppose P(A1∩A2)=0. Suppose further that  P(A1)=0.60,P(A2)=0.40 ,P(B|A1)=0.70 and P(B|A2)=0.20.Find P(A1|B).

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These to fall possible values of a random variable X is called

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Suppose P(A)=0.70, P(B)=0.20 and P(A∩B)=0.15.Find P(A∩B)

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The volume of water in commercially supplied fresh drinking water containers is approximately Normally distributed with mean 70 litres and standard deviation 0.75 liters.Estimate the proportion of containers likely to contain .P(X>70.9)

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Examples of Designs of Experiment are except-----------

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A mode:

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Two events A and B are said to be INDEPENDENT if.......

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Let X be the number of boreholes a company drill with a mean of 3 borehole per town in Nigeria. What is the probability that the company drill at most one borehole in a randomly selected town?

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Suppose two events E and F with non-zero probabilities are mutually exclusive. Then

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Tay-Sachs disease is a rare but fatal disease of genetic origin occurring briefly in infants and children, especially those of eastern European extraction. If a couple are both carriers of Tay Sachs disease, a child of theirs has probability 0.25 of being born with the disease. If such a couple has four children, what is the probability that no child will have the disease?

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How many sub committees of 3 people can be chosen from a committee of 8 people?

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A fair coin is flip twice  .The outcomes are {HH,HT,TH,TT}. Each has the same probability . Which of the following options satisfies that the event H1 (where the first flip comes up heads) is independent from the event H2 (where the second flip comes up heads).

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If the probability of producing a defective screw is p=0.01, what is the probability that a lot of 100 screws will contain more than 2 defectives?

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Which of the following is not an example of a ratio scale variable?

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Suppose that 24% of companies in a certain sector of the economy have announced plans to expand in the next year (and the other 76% will not) .In a sample of twenty companies chosen at random drawn from this population ,find the probability that the number of companies which have announced plans to expand in the next year will be precisely five.

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The variance measures deviation around the :

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Suppose that we have a samples pace S={E1,E2,E3},where E1,E2 and E3 denote the experimental outcomes and the following probability assignments are given for the sample events P(E1)=0.3,P(E2)=0.25,P(E3)=0.45.LetA={E1,E2}.Find P(A).

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Sample space has probability.

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