(b) A fair coin is tossed 10 times. Assuming that tosses are independent, either calculate or determine from tables, the following quantities. (i) the probability that 5 of the coins land heads; (ii) the probability that at least three of the coins land heads; (iii) the mean and standard deviation of the number of coins that land heads;

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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just questions (i), (ii) and (iii) please

(b) A fair coin is tossed 10 times. Assuming that tosses are independent, either calculate or
determine from tables, the following quantities.
(i) the probability that 5 of the coins land heads;
(ii) the probability that at least three of the coins land heads;
(iii) the mean and standard deviation of the number of coins that land heads;
(iv) the mean and standard deviation of the proportion of coins that land heads.
Transcribed Image Text:(b) A fair coin is tossed 10 times. Assuming that tosses are independent, either calculate or determine from tables, the following quantities. (i) the probability that 5 of the coins land heads; (ii) the probability that at least three of the coins land heads; (iii) the mean and standard deviation of the number of coins that land heads; (iv) the mean and standard deviation of the proportion of coins that land heads.
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