Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) =
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric =
also; x ≅ geometric (p)
∴ E (x) = 
⇒ 
= 4 ; also 
= 2
E (Y) = 4 × + 2 ×
= 2+1
E (Y) = 3
To find t<span>he relative maximum value of the function we need to find where the function has its first derivative equal to 0.
Its first derivative is -7*(2x)/(x^2+5)^2
</span>7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0
g(0) = 7/5
The <span>relative maximum value is at the point (0, 7/5).</span>
Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
<h3>What is the mean absolute deviation of a data-set?</h3>
- The mean of a data-set is given by the sum of all observations divided by the number of observations.
- The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
- The mean absolute deviation represents the average by which the values differ from the mean.
In this problem, the mean is given by:
M = (65 + 58 + 64 + 61 + 67)/5 = 63.
Hence the mean absolute deviation is given by:
MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.
The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.
More can be learned about mean absolute deviation at brainly.com/question/3250070
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8.) (10 / 5) × 100% = 200%
9.) <span> </span>40 x 100<span> / </span>60<span> = </span><span>66.666666666667</span>
10.) 9% × 80 = (9/100) × 80 = 7.2
Answer:
B)
Step-by-step explanation:
It makes sense.
