A carpenter is using a tape measure to get the length of a board. (a) What are s

Question

A carpenter is using a tape measure to get the length of a board. (a) What are some possible sources of bias? (b) Which is more subject to bias, a steel tape or a cloth tape? (c) Would the bias in a cloth tape change over time? You send a yardstick to a local laboratory for calibration, asking that the procedure be repeated three times. They report the following values: 35.96 inches 36.01 inches 36.03 inches If you send the yardstick back for a fourth calibration, you would expect to get 36 inches give or take .01 inches or so .03 inches or so .06 inches or so A die will be rolled 6.000 times. About how many aces are expected? Five cards are dealt off the top of a well-shuffled deck. (a) Find the chance that the 5th card is the queen of spade. (b) Find the chance that the 5th card is the queen of spades, given that the first 4 cards are hearts. A coin is tossed 3 times. (a) What is the chance of getting 3 heads? (b) What is the chance of not getting 3 heads? (c) What is the chance of getting at least 1 tail?

Explanation / Answer

8)three coins are tossed then s={HHH,HHT,HTH,THH,TTH,THT,HTT,TTT} n(s)=8 A be the event of getting 3 haeds A={HHH} n(A)=1 chance to getting 3 heads =P(A)=n(A)/n(S)=1/8 A* be the event of not getting three heads.n(A*)=7 P(A*)=n(A)/n(S)=7/8 B be the event of getting at least 1 tail. B={THH,HTH,HHT,TTH,THT,HTT,TTT} n(B)=7 chance to getting at least one tail=P(B)=n(B)/n(S)=7/8

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