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Stolb23 [73]
3 years ago
8

A coin is to be tossed 36 times what are the mean and standard deviation of the number of heads

Mathematics
1 answer:
viva [34]3 years ago
3 0

Answer:

Binomial distribution,

n = 36 independent events,

p = 0.5 probability of success and of failure, as 1-p = p.

Mean of binomial distribution is np=18.

Variance is np(1-p)=9

Standard deviation is sqrt(variance)=3.

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Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

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S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

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b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

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E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

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E = {DJ, MJ, RJ}

n(E) = 3

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Probability for John to attend the conference is 3/6 = 1/2

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Probability that John stays at home = 1 - 1/2

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