Answer:
The standard deviation for this distribution is 0.8660.
Step-by-step explanation:
For each coin toss, there are only two possible outcomes. Either it is heads, or it is tails. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
In this problem, we have that:
In each toss, heads or tails are equally as likely, since the coin is fair. So 
Three throws, so 
What is the standard deviation for this distribution?
The standard deviation for this distribution is 0.8660.
All the outcomes are 10 (possibilities)
To pull a quarter (total 3), its probability = 3/10 or 0.3
Now without putting the quarter back, the remaining total is now 9 (because one quarter was pulled out) so the probability of getting a penny is 2/9
But this is a conditional probability a) 1st pull a quarter & 2nd pull a penny
So the total probability is 3/10 x 2/9 =6/90 = 1/15 = 0.067
Simplifying the expression 8x +7 - 2x + y, by combining like terms is 6x + y + 7
<h3>How to simplify an expression?</h3>
The expression have to be simplified by combining the like terms.
Like terms are terms whose variables (and their exponents such as the 2 in y²) are the same.
Therefore,
8x +7 - 2x + y
The like terms are 8x and 2x . Therefore, lets combine it.
8x - 2x + y + 7
Therefore, the simplified expression is 6x + y + 7
learn more on simplification here:brainly.com/question/13056018
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2229Step-by-step explanation:
