Answer:
The answer will always be 1/36 with 2 dice for any numbers under 7
each.
The numbers go like this
rolling 1 from two dice = 1/6 x 1/6 = 1/36
Step-by-step explanation:
Probability Table of Rolling Two Dice
The possible outcomes of rolling two dice are represented in the table below. Note that the number of total possible outcomes is equal to the sample space of the first die (6) multiplied by the sample space of the second die (6), which is 36.
100+60+x x=? to figure out the problem, you look at hundredth digit. 100 but wait. 100+60 in expanded form is 160. 160x to figure out x, you need to subtract 2 from 60. Which is 58. Unless it's 2-6. 2-6=4. in expanded form, the answer is 100+60+4 but we speak numbers so in the number form, it would be: 164 so x=4
Answer:
a) This is a continuous random variable because the set of possible values is an interval.
b) Height = 0.5
Graph attached.
c) P(Y≤1) = 0.5
Step-by-step explanation:
a) If the density curve of the outcomes has a constant height, we have a uniform distribution for values between 0 and 2 (outside this range, the density function has a value of 0).
This function is continous and has a value for each real number. The set of possible values has a is an interval between 0 and 2, all with equal probability (the ones that are otuside this interval have 0 probability, so they are not possible values).
b) The height is calculated so that the total area under the density curve has to be equal to 1.
Then, we have to calculate the integral between 0 and 2 of the density function:
The height is H=0.5
(Graph attached)
c) The probability can be calculated by integrating the density function (which is equal to the area under the curve) between 0 and 1, or using the graph.
With the graph, we see that the area is equal to the height (0.5) by the width of the interval (1), so the total area is 0.5 x 1 = 0.5.
The probability P(Y≤1) is equal to 0.5.
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Step-by-step explanation:
Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7