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Question 2 Tossing a coin 15 times, let  be the number of tails obtained. (a) The mean...

Question 2

Tossing a coin 15 times, let  be the number of tails obtained.

(a) The mean of this binomial distribution is .

(b) The standard deviation (to the neatest tenth) of this binomial distribution is .

(c) The the probability of getting 6 heads is  (round to the nearest thousandth).

(d) The probability of getting at least 2 tails is  (round to 6 decimal places).

(e) The probability that the number of tails is between 5 and 10, exclusive, is  (round to the nearest hundredth).

Math   Statistics-And-Probability   
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Answer #1

Let X be the number of tails obtained .

Then X~ Bin ( n = 15 , p = 0.5) assuming that the coin is unbiased .

a) Mean of binomial distribution is np . So, here mean is np = 7.5

b) Sd of binomial distribution is

c) P[ Getting 6 head ]

=P [ Getting 15-6= 9 tails ]

  

d) P[ Getting at least 2 tails ]

  

e)

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