Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Answer:
the transformation is dilation
Each coin has a head and a tail, therefore when you toss two coins, you have 4 possible outcomes. You have two heads in only one of these outcomes, while the other three have at least one tail.
The expected value of the game is the price paid/gained times the probability of loss/victory:
E = (1 / 4) · (-6) + (3 / 4) · (2)
= -3 / 2 + 3 / 2
= 0
Bob expects to tie with Will.
Answer:
He drove 111 miles
If we were given the distance Lan drove last weekend instead off how much gas he used then we would have to find the amount of gas used by lan.
Step-by-step explanation:
Ian's car can go 185 miles on 5 gallons of gas
On 5 gallons of gas lan's car can go 185 miles
Therefore in gallon of gas lan 's car can go
185/5 = 37
So, for 3 gallons of gas lan's car can go
3 × 37 = 111
for 3 gallons of gas lan's car can go 111 miles
If we were given the distance Lan drove last weekend instead off how much gas he used then we would have to find the amount of gas used by lan.
