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Q1 Read the following table and answer the questions below:-

x

P(X=x) =f(x)

0

0.15

1

0.22

2

C

3

0.20

4

0.18

  • The value of C = …………………………………………………………….…
  • P(x >3) =……………………………….…………………………………..……….
  • P(x2) =…………………………………….….……………….…….………………
  • P(x>4) = …………………………………………….……………………………….
  • P(.1 x<3) =…………………………………………………………………….….
  • P(x=1.5) ………………………………………………………………….…………
  • The expected value of x (the mean of x) =

…………………………………………..………………………………………….…..

Q2 : If the mean number of serious accidents per year in a large factory is 4 find the following :

  • P(x=3) =
  • P(x = …………………………………………………………….….….
  • P(x= ……………………………………………………………………
  • Mean and variance = …..………………………………………………………

Q3 : If the defective productproportionin one factoryis 30% if a random Sample of 5 units is drawn from this product . Then find :

  • The probability of getting no defect units .
  • The probability of getting more than 3 defect units. ………………..……………..
  • The probability of getting less than 2 defect units. ………………………………………………………………………………………………
  • The mean and variance of the defect product. ………………………………………………………………………………………….…
  • P(z >.15)= ………………………………………………………………………….
  • P(z<1.18)= …………………………………………………………………………

………………………………………………………………………………..……………..…

………………………………………………………………………………………..….…

Q4: For the given standard normal distribution . Use Z- table to find the following probabilities:-

  • P(-1.6<z<2.7) = …………………………………..………………………………..
  • P(z=2.25)=………………………………………………………………………

Q5: Male weights are normally distributed with a mean of 60 kg. and a standard deviation of 10 kg. If we select one man at random then find the following probabilities :

  • P(x=40) =………………………………………..…………………………….….
  • P( x=……………………………..………………..………………….….….
  • P(x70)=………….…………..………………….…………………….
  • P(65= ………….…………………………………………………

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