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

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The discussion focuses on the probability outcomes of flipping four quarters, which has 16 possible outcomes. Participants are asked to calculate the probabilities of getting 0, 1, 2, 3, and 4 heads, as well as to represent these probabilities in a distribution table. Additionally, the expected value and standard deviation of the random variable representing heads in the flips are to be determined. The conversation encourages sharing attempts at solving the problem to facilitate better assistance. Overall, the thread aims to clarify the calculations and concepts related to this probability experiment.
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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?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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