Answer:
(a)
The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.
(b)
The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2
(c)
Probability that no one or one person will be injured = P(X = 0) + P(X = 1)
= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1
= 0.810 + 10 * 0.2 * 0.89
= 0.3758096
(d)
Average value of X = np
Average value of X = 10 * 0.2 = 2
(e)
Variance of X = np(1-p)
Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6
(f)
Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45
Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1
= 9! / ((9-1)! 1!)
= 9
Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured
= 9 / 45
= 0.2
What's 1/3 of 12?
Mulitply 1/3 times 12 = 4
Nita uses 4 eggs.
Given:

Sol:
Area of picture is:

If the cost $10 per square inch then price of 15 square inch is:

If the quadruple of dimension that mean:

So area is:

So price is:
Answer:
I’m pretty sure it’s Triangle ABC is congruent to Triangle DEF.
Step-by-step explanation:
If you rotate Triangle DEF to where the 90 degree angle is on the bottom right, you can the compare the two triangles. You can divide 300/25, 240/20, and 180/15. They all result in 12 meaning they are congruent and similar in that way. (I’m only 90% this is right btw)