Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
T (5, 5)
Step-by-step explanation:
T(P)= (x+1, y+3) = (4+1, 2+3)
Answer:
-45.4545454545 *45 repeating*
Step-by-step explanation:
Answer: the interest on the loan is $39.38
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = $350
R = 4.5%
There are 12 months in a year. Converting 30 months into years, it becomes
30/12 = 2.5. so
T = 2.5 years
Therefore
I = (350 × 4.5 × 2.5)/100
I = $39.38
The United States increased its global influence.
