I have been working as a senior school teacher at Government High School Gilgit
Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. Find the probability that the screws drawn will be nondefective in drawing (a) with replacement, (b) without replacement.
If we inspect paper by drawing 5 sheets without replacement from every batch of 500 , what is the probability of getting 5 clean sheets although 2% of the sheets contain spots? First guess.
Under what conditions will it make practically no difference whether we sample with or without replacement? Give numeric examples.
Four fair coins are tossed simultaneously. Find the probability function of the random variable $X=$ Number of heads and compute the probabilities of obtaining no heads, precisely I head, at least 1 head, not more than 3 heads.
If the probability of hitting a target in a single shot is $10 \%$ and 10 shots are fired independently, what is the probability that the target will be hit at least once?
List all permutations of four digits $1,2,3,4,$ taken all in a time.
