So the larger number is x, and the smaller number is y
7y=x
3x=7+4y
(So plug in the 7y=x information into the second equation)
3(7y)=7+4y
21y=7+4y
17y=7
y=7/17
The set given by the project grade is {1, 2, 3, 4, 5}. If the random variable, X, is the project grade, the mean of the probability distribution is determined by:
Sum = 1 + 2 + 3 + 4 +5
= 15
Mean of the probability distribution is 15/n, where n = 5
= 15/ 5
= 3
The correct answer is 32.15 inches
The answer to this is negative
Probability of an event =
(number of ways the event can happen) / (total number of possible outcomes) .
Well, the total number of possible outcomes is easy. It's
(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)
= 36 total possible ways for two cubes to roll.
Now, how many of those possibilities show either 4 or 7 ?
Well, here's how a 4 can come up:
1 . . . 3
2 . . . 2
3 . . . 1
and here's how a 7 can come up:
1 . . . 6
2 . . . 5
3 . . . 4
4 . . . 3
5 . . . 2
6 . . . 1 .
So there are 9 ways all together for Lenny to be successful.
The probability is (9/36) .
That's 1/4 , or 25% .