Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)
</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>
Answer:
181 million km
Step-by-step explanation:
"Correct to the nearest unit" means the actual value might be 1/2 unit larger (or smaller) than the reported value.
The upper bound would be the product of the maximum number of bicycles and the maximum distance each travels:
(72.5 · 10^6 bicycles)(2.5 km/bicycle) = 181.25 · 10^6 km
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Since the given numbers are good to 2 significant figures (or so), we might reasonably put the upper bound as 180·10^6 km.
Answer:
27 degrees.
Step-by-step explanation:
If the average is to be 23 degrees over 5 days then the total of the temperatures will be 5*23 = 115 degrees.
The total over the first 4 days = 22*4 = 88 degrees, so the temperature on the fifth day has to be 115 - 88 = 27 degrees.
<span>Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.=3/10
</span><span>The probability of picking an odd prime number is . The probability of picking a number greater than 0 that is also a perfect square is=3/10</span>
