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
Answer:
d) 40 sec
Step-by-step explanation:
We have been given that the height h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation
. We are asked to find the time it will take for the waterwheel to complete one turn.
To solve for time we need to find the period of the given cosine function.
We know that general form of a cosine function is in form
, where,
a = Amplitude,

We have been given
. Substituting this value in period formula, we will get:




Therefore, it will take 40 seconds for the waterwheel to complete one turn and option 'd' is the correct choice.
Answer:
89−18n
Step-by-step explanation:
Answer: 1.5 inches/hour
Step-by-step explanation:
4.5/3=
Answer:
-2>x
Step-by-step explanation:
-13>3x-7
+7 +7
-6>3x
/3 /3
-2>x