44 is the answer..............
Answer:
The probability that X and Y are both positive and that their sum is less or equal to 1 0.64.
Step-by-step explanation:
It is provided that the random variables <em>X</em> and <em>Y </em>follows a standard normal distribution.
That is,
It is also provided that the variables <em>X</em> and <em>Y </em>are statistically independent of each other.
Compute the probability that X and Y are both positive and that their sum is less or equal to 1 as follows:
The mean and standard deviation of <em>X</em> + <em>Y</em> are:
The probability is:
*Use the <em>z</em>-table.
Thus, the probability that X and Y are both positive and that their sum is less or equal to 1 0.64.
Answer:
b) x^4 varies directly as y
is the right answer
Step-by-step explanation:
Given that x and y are related by the equation
This can be rewritten as
If x^4 =z is substituted we have
z=7y
i.e. Z directly varies as y and constant of proportionality is 7.
Hence we can write
x^4 varies directly as y
Option b is right
Answer:
1/16
Step-by-step explanation:
first we find the probability of picking a 2 and then a 5 , then we multiply the two probabilities
probability of picking a 2 on the first time is 1/4 as there is 1 2 and 4 total cards.
the probability of picking a 5 is also 1/4 as there is 1 5 and 4 total cards
so the probability of picking a 2 and then a 5 would be 1/4 * 1/4 = 1/16