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2 answers:
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Answer:
a. 0.114
b. 0.005
c. 0.381
d. 0.00
Step-by-step explanation:
If x follows a hypergeometric distribution, the probability that x is equal to k is calculated as:
Where k≤r and n-k≤N-r, Additionally:
So, replacing N by 10, n by 4 and r by 6, we get:
Then, the probability that x is equal to 1, P(x=1) is:
The probability that x is equal to 0, P(x=0) is:
The probability that x is equal to 3, P(x=3) is:
Finally, in this case, x can take values from 0 to 4, so the probability that x is greater or equals to 5 is zero.
Area of the composite shape = 292 yd²
Solution:
The shape is splitted into two rectangles.
The reference image of the answer is attached below.
Length of the top rectangle = 21 yd
Width of the top rectangle = 29 yd – 22 yd = 7 yd
Length of the side rectangle = 29 yd
Width of the side rectangle = 26 yd – 21 yd = 5 yd
Area of the figure = Area of the top rectangle + Area of the side rectangle
= (length × width) + (length × width)
= (21 × 7) + (29 × 5)
= 147 + 145
= 292
Area of the composite shape = 292 yd²
