For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)=
= = 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = +
+
+
+
+
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = +
+
+
+
+
+
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
The point on the curve is (–4, 140)
Solution:
Given and slope is –67.
slope = –67
– – – – (1)
Now calculate for the given curve
.
Using differential rule:
– – – – (2)
Equate (1) and (2).
⇒ x = –4
Substitute x = –4 in y.
⇒
⇒
⇒ y = 140
Hence, the point on the curve given is (–4, 140).
Answer:
The balance in the account after 20 years will be $11280.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
.
In this problem
We want to find T, when
The first step is find the earnings due to interest. So
Adding to the principal to find the balance
The balance in the account after 20 years will be $11280.