Determining expected value and standard error of sum

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Reference no: EM1323049

Q1) Machine has been designed to toss a coin automatically and keep track of number of heads. After 500 tosses, it has 245 heads. Express chance error both in absolute terms and as a percentage of number of tosses.

Q2) Computer is programmed to take sum of 400 draws made at random with replacement from magic box: 0 2 4 6 8

Q3) What is the value range for the sum of 400 draws (the possible lowest value and the largest value of the sum of 400 draws)?

Q4) Determine the expected value and standard error of the sum of 400 draws?

Q5) Determine the chance that the sum is less than 1500? (using the normal approximation)

Q6) A deck of cards is well shuffled deck of 52 cards. (Four suits-spades, diamonds, clubs, hearts, each with ace through ten, plus 3 pictures cards-jack, queen and king.) Determine the following chances:

i) The first card is a king.

ii) The first card is a king, the second is a queen, and the third is a seven (without replacement).

iii) A card is a king of diamond

iv) A card is a king or a diamond

Reference no: EM1323049

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