Show how 3 4 × 4 can be solved using repeated addition.
1 answer:
Answer:
Step-by-step explanation:
In order to solve this exercise it is important to remember that the "Repeated addition" is about adding equal groups of numbers.
Therefore, you can solve a mulitplication using the Repeated addition by repeat the same number "n" times in order to find the result..
In this case, you have the following multiplication given in the exercise:
You can observe that the number 34 is multiplied by 4. This indicates that the result is four times 34.
Then, based on the explained at the beginning of this explanation, you can conclude that you can also solve the given multiplication by repeating the number 34 four times and then adding the groups.
Therefore, you get:
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Answer:
The probability is 0.0775
The expected value is 4.75 clubs
The standard deviation is 1.8875 clubs
Step-by-step explanation:
The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:
So, the probability P of drawing at least 8 clubs is:
P = P(8) + P(9) + P(10) + ... + P(18) + P(19)
Replacing, the values of x, from 8 to 19, on the equation above, we get:
P = 0.0775
Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:
E(x)=np = 19(0.25) = 4.75