Answer:
The probability this could occur by chance is approximately 0.003053.
Step-by-step explanation:
This problem can be solved with a binomial distribution, if we imagine that by the end of January the stock market will follow the same pattern for the rest of the year we can define the following random variable:
"The stock market will be up for the rest of the year",
and 
if by the end of January the stock market is up and 
otherwise, this way 
, where p is the probability of success. Next we can define the following random variable:
"Sum of all years where the stock market was up"
Now, the sum of a Bernoulli random variables is a Binomial random variable, in other words 
, where n is the number of trials and p is the probability of success. The pdf of Y is given by:
The question give us the 
, 
and 
. Now we just have to solve it:
Which is highly unlikely to happen.
Answer:
1.375
Step-by-step explanation:
given, (3 1/4) - (1 7/8) = 1.375
simplify, 3.25 - 1.875 = 1.375
Answer:
3.75 or 15/4
Step-by-step explanation:
8x+5=35
Subtract 5 from the left side to cancel it out, do the same thing to 35.
8x=30
Divide 8x by 8 to get x alone, do the same thing to 30.
x=3.75, or once you simplify 30/8, you get 15/4.
