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A random variable X has the following pr...

A random variable X has the following probability distribution :
`{:(X:,1,2,3,4,5,6,7,8),(P(X):,0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.08):}`
for the events `E=`[X is a prime number] `F={Xlt 4}`, the probability `P(EUF)`, is.

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To find the probability \( P(E \cup F) \) where \( E \) is the event that \( X \) is a prime number and \( F \) is the event that \( X < 4 \), we will follow these steps: ### Step 1: Identify the prime numbers in the range of \( X \) The prime numbers from the given random variable \( X \) (which takes values from 1 to 8) are: - 2 - 3 - 5 - 7 ...
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OBJECTIVE RD SHARMA ENGLISH-DISCRETE PROBABILITY DISTRIBUTIONS-Exercise
  1. A random variable X has the following probability distribution : {:(...

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  2. A random variable has the following probability distribution: X=xi :\...

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  3. If X is a random variable with probability distribution as given be...

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  4. If in a distribution each x is replaced by corresponding value of f(x)...

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  5. A man takes a step forward with probability 0.4 and backward with p...

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  6. The probability that a man can hit a target is 3//4. He tries 5 times....

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  7. Six ordinary dice are rolled. The probability that at least half of th...

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  8. Two persons each makes a single throw with a pair of dice. Find the pr...

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  9. If the range ot a random vaniabie X is 0,1,2,3, at P(X=K)=((K+1)/3^k) ...

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  10. An experiment succeeds twice as often as it fails. Find the probabi...

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  11. The probability that a candidate secure a seat in Engineering through ...

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  12. Six coins are tossed simultaneously. The probability of getting at lea...

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  13. about to only mathematics

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  14. Two players toss 4 coins each. The probability that they both obtain t...

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  15. A box contains 24 identical balls of which 12 are white and 12 are bla...

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  16. Two dice are tossed 6 times. Then the probability that 7 will show an ...

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  17. If X follows a binomial distribution with parameters n=6 and p. If 4P(...

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  18. The number of times a die must be tossed to obtain a 6 at least one wi...

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  19. Seven chits are numbered 1 to 7. Four chits are drawn one by one with ...

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  20. If the mean of a binomial distribution is 25, then its standard deviat...

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  21. The value of C for which P(X=k)=Ck^2 can serve as the probability func...

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