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Construct the probability distribution of a particular experiment by following the instructions given to you.



A dog gave birth to a litter of six puppies. Three of them are male while the rest are female.if you are to be given three of these puppies at random,list all the elements of the sample space using the letters M and F for male puppies band female puppies, respectively.then assign a value x of the random variable X representing the number..



Possible Outcomes/Value of Random Variable X

Find whether the following series are convergent or not


i. ∞Σ n=1 (3n-1)/7^n

how to find the variance and standard deviation of a discrete random variable

Question 1

In the Monty Hall Problem described by Karl, the correct approach when confronting to the decision of changing or keeping the door is to...


Option:


never change the door to increase the probability of winning the prize.



always change the door, although the probability of wining remains the same.



always change the door to have a positive impact on the probability of winning the goat.



always change the door, which will yield better chances of winning the prize.



Using wiestrass M test show that the following series converges uniformly Sigma infinity n=1 n^3 x^n x belongs to[-1/3,1/3]

Suppose the production cost is 18 925 labour cost is and equipment renting fee is R250 determine the number of devices produced


What is the cardinality of each of these sets?

a. {a}

b. {{a}}

c. {a,{a}}  

d. {a,{a},{a,{a}}}  

e. {∅,{∅},{∅,{∅}}} 


“If compound X is boiling, then its temperature must be at least 150◦C.” Assuming that this

statement is true, which of the following must also be true?

a. If the temperature of compound X is at least 150◦C, then compound X is boiling.

b. If the temperature of compound X is less than 150◦C, then compound X is not boiling.

c. Compound X will boil only if its temperature is at least 150◦C.

d. If compound X is not boiling, then its temperature is less than 150◦C.

e. A necessary condition for compound X to boil is that its temperature be at least 150◦C.

f. A sufficient condition for compound X to boil is that its temperature be at least 150◦C.


How many assignments of truth values to p; q; r and w are there for which

((p → q) → r) → w is true? Guess a formula in terms of the number of variables.


Two independent samples of sizes 8 and 7 contained the following values:


Sample I : 19 17 15 21 16 18 16 14


Sample II : 16 14 15 19 15 18 16


Do the estimates of the population variance differ significantly at 5% level?

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