I'm attaching the solutions.. please let me know if you have any questions.
Hope it helps.
Answer:

Step-by-step explanation:



Now take “x” common in the first term and “y” common in second term then the equation becomes as follows:




Using the binomial distribution, it is found that the probabilities are given as follows:
a) 0.5514 = 55.14%.
b) 0.3631 = 36.31%.
c) 0.4082 = 40.82%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Item a:
In this problem, we have p = 0.82, n = 3, and the probability is P(X = 3), hence:


Item b:
In this problem, we have p = 0.82, n = 3, and the probability is P(X = 2), hence:


Item c:
We have to find P(X = 2) for the three probabilities, p = 0.82, p = 0.12, p = 0.05 and add them, hence:




Then:
p = 0.3631 + 0.0380 + 0.0071 = 0.4082.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
The probability of getting an even number on a number cube is 1/2
The probability of getting the heads on a dime is 1/2
Step-by-step explanation:
A number cube has six numbers
And three of those numbers are even numbers.
Therefore;
Probability = 3/6
= 1/2
A dime has two faces, heads and tails
One of them is heads
Therefore;
Probability = 1/2
-4/7 - 4/3
- 12/21 - 28/21 = -40/21
your answer is -1 19/21
hope this helps