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Find the expectation of the number of he...

Find the expectation of the number of heads in 15 tosses of a coin.

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Let ` p ` be the probability of getting a head in a single toss.
Then, `p=frac{1}{2}`
Clearly, the distribution of the number of heads is a binomial distribution with `{n}=15, {p}=frac{1}{2}.`
Therefore, Expectation `={E}({X})={np}=15 times frac{1}{2}=7.5`
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RD SHARMA-BINOMIAL DISTRIBUTION -Solved Examples And Exercises
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  2. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bu...

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  3. Find the expectation of the number of heads in 15 tosses of a coin.

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  4. Can the mean of a binomial distribution be less than its variance?

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  5. Determine the binomial distribution whose mean is 9 and variance 9/4.

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  15. If pair of dice is thrown 4 times. If getting a doublet is considered ...

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  16. From a lot of 15 bulbs which include 5 defective, a sample of 4 bulbs ...

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  17. Three cards are drawn successively with replacement from a well shu...

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  18. In a binomial distribution, if n=20 ,\ q=0. 75 ,then write its mean.

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