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a certified public accountant (cpa) randomly selects 4 accounts for a group of 12 careful examination. The company being audited knows that 7 of the accounts contain - errors. what is the probability that all 3 accounts selected are error-free


Two cards are drawn from a deck. How many possible values can each of the following variables take? 5.) Number of times the first card is face card and the second card is not a face card

a meeting of consuls was attended by 4 Americans and 4 Germans. If three consuls were selected at random, construct the probability distribution of the random variable G representing the number of Germans.






Sea-Salt Restaurant borrows R100000

 for five years from a bank to upgrade its premises. The bank charges interest at 12%

 per annum compounded monthly over five years. What is the equal monthly repayments of Sea-Salt Restaurant to the bank?


Given W is a uniformly distributed random variable with mean 33 and variance 3. Using R programming, apply the suitable coding to identify answer in (a) and (b) 


(a) probability density function for W 

(b) cumulative distribution function for W 


Mean height of 100 Students is 150 cms and the standard deviation is 15 cms. Assuming that the height are

normally distributed, find how many students have height between 110 to 165 cms.


Mean height of 100 Students is 150 cms and the standard deviation is 15 cms. Assuming that the height are

normally distributed, find how many students have height between 110 to 165 cms.


a) Find the indefinite integral of the function

𝑦 = 3𝑡2 + 2𝑒3𝑡 + 2 + 2 cos 3𝑡


An experiment consists of asking three Grade 10 students at random if they prefer to choose the Academic track or TVL track in the senior high school. Use A for Academic and T for TVL. Let Y represent the random variable representing the number of TVL track responses.

An experiment consists of asking three Grade 10 students at random if they prefer to choose the Academic track or TVL track in the senior high school. Use A for Academic and T for TVL. Let Y represent the random variable representing the number of TVL track responses.

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