Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :

= -4.189
Thus it is not profitable to play the game.
Answer:
Step-by-step explanation:
Given that x is a random variable from a binomial distribution with n = 40 and p = 0.9.
We find that mean = np= 36 and variance = npq = 3.6
Std dev = square root of variance = 1.897
When we approximate binomial to normal we say
X' is Normal with mean = 36 and std dev = 1.897
X' is N(36, 1.897)
Note:
The condition for binomial approximating to normal is p should be close to 1/2
Here p is 0.9 and also nq=4 is very small.
So normal approximation may not give accurate results.
The formula for calculating the simple interest is given by

Here, P = Principle amount
r = annual interest rate in decimal
t = time in years.
Now, if we invest for months or week then in order to find the simple interest, we must convert the units in years.
Therefore, d is the correct option.
d) Interest rates are annual, so you must convert the units into years.
Its 70%!!!! We all use this website for Edmentum Assessments don't we??