Answer:
9.72405%
Step-by-step explanation:
Binomial Probability
(N choose k) p^k (1-p)^(n-k)
N=7 seeds planted
p= 100% - 70% = 30% = 0.3 <--- we are interested in the plant NOT growing
(1-p) = 70% = 0.7 <--- 70% chance the plant will survive and grow
k=4 <--- we want four of them to fail
The probability is:
(7 choose 4) * (0.3)^4 (0.7)^3 =
7!/(4!3!) (0.3)^4 (0.7)^3 =
(7*6*5/3*2) (0.3)^4 (0.7)^3 =
7*5 (0.3)^4 (0.7)^3 =
35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%
Step-by-step explanation: To solve for x when the equation includes an exponent, start by isolating the term with the exponent. Then, isolate the variable with the exponent by dividing both sides by the coefficient of the x term to get your answer. If the equation has fractions, start by cross-multiplying the fractions.
Answer:
a) 0.3826
b) 0.9894
Step-by-step explanation:
We are given the following information:
We treat students accepted at university as a success.
P(students accepted at university) = 70% = 0.70
Then the number of students accepted at university follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 10
a) P( 8 or more will be accepted)
b) P(4 or more will be accepted)
Answer:
I believe it's this:
A. M= (C-12)/a (Not sure.)
Step-by-step explanation:
1. Add up all the profits:
3.2 + 1.8 + 6.4 = $11.4 million
2. Add up all the losses:
4.5 + 2.7 = $7.2 million
3. Profits - Losses = Total Profit so far
$11.4 million - $7.2 million = $4.2 million
4. What happened in the last month?
The net profit is $7.5 million. This means the last month must have had a profitable month to equal $7.5 million.
7.5 - 4.2 = $3.3 million profit in the last month