Random variable X has mean Ux=24 and standard deviation x =6. Randon variable Y
ID: 3131155 • Letter: R
Question
Random variable X has mean Ux=24 and standard deviation x =6. Randon variable Y has mean Uy =14 and standard deviation Y = 4. A new random variable Z was formed, where Z=X+Y. What can we conclude about X, Y, and Z with certainty? That is, which one is true?
The computer lab has some new computers. From experience it had been determined that when computers breakdown , the Dell’s do so 40% of the time; IBM computers break down 30% of the time and HP computers break down 30% of the time. What is the probability that in a random sample of 20 computers that break down,7 are from Dell,5 are from IBM and 8 from HP?
A new communications company (NCC) wants to offer broad band services (high speed internet), TV, telephone) to residents of a country .It will be successful only if an existing cable company (ECC) decides to allow itself be bought by this new company. There is an 80% probability the existing cable company will sell if an influential director resigns and a 12 % probability the existing cable company will sell if an influential director does NOT resign .The new communication company believes there is a 40% chance the director will resign. What is the probability the cable company will sell?
Explanation / Answer
3) THE CHANCES OF DIRECTOR TO RESIGN = 0.40
THE CHANCES OF DIRECTOR NOT TO RESIGN = 0.60
WE NEED TO FIND THE PROBABILITY OF COMPANY TO BE SELL OF WHICH WILL BE CALCULATED
AS THE CHANCE OF SELLING WHEN DIRECTOR RESIGN = 0.80
CHANCE OF SELLING WHEN DIRECTOR DOES NOT RESIGN = 0.12
THEREFORE TOTAL PROBABILITY OF SELLING = 0.80*0.40+0.12*0.60 = 0.392
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