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The weight of a randomly chosen grape of a given variety may be taken to be a normal variable with mean 5g. Find the standard deviation, in grams, given that the probability that a randomly chosen grape weighs less than 3g is 0.123. Find the probability that a randomly chosen grape weighs more than 9g

The weight of a randomly chosen grape of a given variety may be taken to be a normal variable with mean 5g. Find the standard deviation, in grams, given that the probability that a randomly chosen grape weighs less than 3g is 0.123. Find the probability that a randomly chosen grape weighs more than 9g

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Statistics Formulae Mean = u= ΣΤ Sample Variance = s Some Probability Formulae P(AUB) = P(A)+ P(B) - P(AnB) 1. P(AnB), P(B) >0 2. P(A/ B) = P(B) 3. P(AnB) = P(A/ B) + P(B) 4. P(A/ B) = P(A) P(AnB) = P(4) + P(B) 5. P(A) = P(A/ B)P(B) + P(A/B)P(P(B) 6. P(B/ A)P(A) P(B/ A)P(A)+ P(B/A)P(A) 8. P(A B) = u = E(X) = ExP(x) 9. a' =V(X) = E[(X -']= E(x-4)' P(x) 10. a' =V(X)= E(X)* -[E(X)]* 11. n! 12. P(x) = 13. u = npi = npg 14. -: for x= 0,1,2,3. P(x)= pqx-1 15.
Transcribed Image Text:Statistics Formulae Mean = u= ΣΤ Sample Variance = s Some Probability Formulae P(AUB) = P(A)+ P(B) - P(AnB) 1. P(AnB), P(B) >0 2. P(A/ B) = P(B) 3. P(AnB) = P(A/ B) + P(B) 4. P(A/ B) = P(A) P(AnB) = P(4) + P(B) 5. P(A) = P(A/ B)P(B) + P(A/B)P(P(B) 6. P(B/ A)P(A) P(B/ A)P(A)+ P(B/A)P(A) 8. P(A B) = u = E(X) = ExP(x) 9. a' =V(X) = E[(X -']= E(x-4)' P(x) 10. a' =V(X)= E(X)* -[E(X)]* 11. n! 12. P(x) = 13. u = npi = npg 14. -: for x= 0,1,2,3. P(x)= pqx-1 15.
The weight of a randomly chosen grape of a given variety may be taken to be a normal variable with mean 5g. Find the standard deviation, in grams, given that the probability that a randomly chosen grape weighs less than 3g is 0.123. O Find the probability that a randomly chosen grape weighs more than 9g Five grapes are chosen at random. Find the probability that at least two weigh less than 3g (i) Using a suitable approximation, find the probability that, out of 100 randomly chosen grapes at least 3 weigh more than 9g
Transcribed Image Text:The weight of a randomly chosen grape of a given variety may be taken to be a normal variable with mean 5g. Find the standard deviation, in grams, given that the probability that a randomly chosen grape weighs less than 3g is 0.123. O Find the probability that a randomly chosen grape weighs more than 9g Five grapes are chosen at random. Find the probability that at least two weigh less than 3g (i) Using a suitable approximation, find the probability that, out of 100 randomly chosen grapes at least 3 weigh more than 9g
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