Answer:
y = x + 1.8
Step-by-step explanation:
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
u=92
Step-by-step explanation:
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Each die has six numbers, the total number of possible combinations is 6 * 6 = 36
The combinations in which you can get a sum of 5 are: 1 &4, 2 & 3, 4 &1, 3 &2
There are 4 different combinations of getting a sum of 5.
The probability would be 4/36, which reduces to 1/9
Answer:
1/3 of each cake
Step-by-step explanation:
2/3 is more then 1/2
