Probability of 4-Quarter Flips: Outcomes & Expected Value/Std Dev

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SUMMARY

The discussion centers on the probability outcomes of flipping four quarters, which yields 16 possible outcomes. Participants analyze the random variable X, defined as the number of heads obtained from these flips. The probabilities for obtaining 0, 1, 2, 3, and 4 heads are calculated, along with the expected value and standard deviation of X. A probability distribution table is also created to summarize these findings.

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(a).Four quarters were flipped at a time and we know there are 16 possible outcomes.
(i).List all the possible outcomes of the sample space of the experiment above.
(3
(b). X is defined as the random variable of getting heads on a flip of these four quarters. Find the probability of getting
(i). Exactly no heads.
(ii).Exactly one head.
(iii).Exactly two heads.
(iv).Exactly three heads.
(v).Exactly four heads.
(c). (i).Represent the probability distribution of X in (b) above in a table form and use your table to answer the following.
(ii).Find the expected value of X.
(III). Find the standard deviation of X.

Pleasee need help this jst one problem messing me up
 
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Hello and welcome to MHB, lightningzcobra! :D

Interesting username...any relation to products from SVT? (Wink)

Can you show us what you have tried so far so our helpers have a better idea where you are stuck and what you may be doing wrong?
 

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