Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as ,
And the variance is given by,
Given :
= 0.001
The formulae of mean and variance are :
a). Mean =
=
= 1000
Variance =
=
= 999,000
The standard deviation is determined by the root of the variance.
= = 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).
= $ 0.50
Since the answer is negative, we are expected to make a loss.
Answer:
84
Step-by-step explanation:
24+60=12(2+5)=12(7)=84
List out all factors of each number, and find the first common one.<span>44</span> : <span>1,2,4</span>
16 : <span>1,2,4,8,16</span>
Therefore, the GCF is <span>44</span>.
List all prime factors of each denominator, and find the intersection of these primes.<span>44</span> : <span>2,2</span>
<span>1616</span> : <span>2,2,2,2</span>
Therefore, the GCF is <span>2×2=4
</span>Divide the numerator (4) by the GCF
<span>4÷4=1
</span>Divide the denominator (16) by the GCF
<span>16÷4=4
</span> Rewrite the fraction in the simplified form
<span><span>14 , and the decimal form will be 0.4.</span></span>