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REMEDIAL -PROBABILITY (2)(Day 5) pe,, , 1). Find'the mean number of heads in three toss of a fair coin, Also find the variance and the, standard deviation., , 2) Two Cards are drawn Simultaneously (or successively without replacement) from a well shuffled, deck of 32 cards, Find the means variance and standard deviation of the number of kings., , 3) Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs., Find the probability that there is at least one defective egg., , 4) The probability ofa shooter hitting a target is 74, How many minimum number of times must, , he ‘she fire so that the probability of hitting the target at least once ts more than 0.997, , 5) Ttis known that 10% of certain articles manufactured are defective. What is the probability, that in random sample of 12 such articles , 9iate defective?, , 6) From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at random, wath replacement. Find the probability distribution of the number of defective bulbs, , ) Anum contains 25 balls of which 10 bails bear a mark “X" and the temaining 13 bear a mark, , 4 ballis drawn at random érom the um. its mark noved down and it is replaced IF 6 balls, , find the probability that, , ear “XX mark, , , , , , , , , , , , , , , "for successis'el) repiacer, e standay, the sana: bt2 number ona thiew:6 :, = probability’ of (1) exactly six heads (us, , , , , , 42 2 fay coin 1s tossed 10 tunes “Find, , , , ij 22 most six heads.