Answer:
Step-by-step explanation:
∵ When x is a random variable having distribution B(n, p), then for sufficiently large value of n, the following random variable has a standard normal distribution,
Where,
Here the variable X has a binomial distribution,
Such that, np (1 - p) ≥ 10 ⇒ n is sufficiently large.
Where, n is the total numbers of trials, p is success in each trials,
So, the mean of variable X is,
And, variance of variable X is,
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = =
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m =
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = =
Simplify,
⇒
Therefore, the Equation of the line is y = 0.5x + 5.